Prime p₀= 2298278881119914981 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 8 58 14 18 58 6 24 42 8 16 8 42 24 6 58 18 14 58 8 (?)
a_n: 0 8 66 80 98 156 162 186 228 236 252 260 302 326 332 390 408 422 480 488
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: 488
Found by: Landjunge
db: batch=81, k=20, 8 58 14 18 58 6 24 42 8 16

STPT(10)	2298276250991059457	0 2 24 26 42 44 60 62 84 86	-2630128855524
SPT(16)	2298276345976227269	0 2 8 14 74 132 134 162 170 198 200 258 318 324 330 332	-2535143687712
SPT(16)	2298276473893526261	0 2 36 56 72 78 80 92 156 168 170 176 192 212 246 248	-2407226388720
SPT(16)	2298276642195782023	0 54 58 84 114 174 180 198 226 244 250 310 340 366 370 424	-2238924132958
TPT(14)	2298277702238233739	0 2 48 50 72 74 78 80 90 92 240 242 270 272	-1178881681242
TPT(14)	2298278067809663837	0 2 30 32 60 62 132 134 144 146 162 164 342 344	-813310251144
SPT(16)	2298279569545139699	0 18 30 32 38 84 102 120 122 140 158 204 210 212 224 242	688425224718
SPT(16)	2298279732631675567	0 22 34 52 60 90 192 216 250 274 376 406 414 432 444 466	851511760586
STPT(10)	2298279785404945007	0 2 12 14 42 44 72 74 84 86	904285030026
SPT(16)	2298279873030814237	0 24 34 60 64 76 102 120 136 154 180 192 196 222 232 256	991910899256
SPT(16)	2298280231221294581	0 8 30 32 48 50 62 140 150 228 240 242 258 260 282 290	1350101379600