Prime p₀= 2936499549420511729 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 28 30 14 28 20 34 18 26 12 22 12 26 18 34 20 28 14 30 28 (?)
a_n: 0 28 58 72 100 120 154 172 198 210 232 244 270 288 322 342 370 384 414 442
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 442
Found by: Landjunge
db: batch=82, k=20, 28 30 14 28 20 34 18 26 12 22

SPT(16)	2936497970285672201	0 6 36 68 96 120 126 192 206 272 278 302 330 362 392 398	-1579134839528
SPT(16)	2936498860074690907	0 12 36 72 142 192 196 262 294 360 364 414 484 520 544 556	-689345820822
SPT(16)	2936498914134299401	0 6 18 28 40 46 76 130 138 192 222 228 240 250 262 268	-635286212328
STPT(10)	2936499138290895431	0 2 36 38 168 170 300 302 336 338	-411129616298
SPT(16)	2936499279096133873	0 30 48 94 124 148 156 226 258 328 336 360 390 436 454 484	-270324377856
SPT(16)	2936499515448102113	0 14 48 56 74 90 108 116 138 146 164 180 198 206 240 254	-33972409616
SPT(16)	2936499989544056323	0 34 64 66 178 204 226 286 408 468 490 516 628 630 660 694	440123544594
SPT(18)	2936500185146101237	0 16 42 52 66 72 96 126 136 186 196 226 250 256 270 280 306 322	635725589508
TPT(14)	2936500386086722811	0 2 96 98 156 158 180 182 186 188 276 278 336 338	836666211082
SPT(16)	2936500619812256897	0 2 26 32 44 96 102 110 126 134 140 192 204 210 234 236	1070391745168
SPT(16)	2936501212715489953	0 4 10 34 76 94 118 130 174 186 210 228 270 294 300 304	1663294978224