Prime p₀= 1017853888791862037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1017853164336117881	0 2 30 32 78 80 126 128 156 158	-724455744156
SPT(16)	1017853332275978453	0 6 30 48 66 84 120 126 128 134 170 188 206 224 248 254	-556515883584
SPT(16)	1017853669134867797	0 30 44 84 114 122 180 192 212 224 282 290 320 360 374 404	-219656994240
SPT(16)	1017853748444840851	0 12 22 36 40 46 66 70 78 82 102 108 112 126 136 148	-140347021186
SPT(16)	1017853755706820713	0 24 58 64 70 106 130 148 156 174 198 234 240 246 280 304	-133085041324
SPT(16)	1017853829835442631	0 12 62 110 128 132 170 180 290 300 338 342 360 408 458 470	-58956419406
STPT(10)	1017854514006018581	0 2 6 8 48 50 90 92 96 98	625214156544
SPT(16)	1017854896499629129	0 12 18 100 130 132 144 168 214 238 250 252 282 364 370 382	1007707767092
SPT(16)	1017855105951209767	0 42 90 94 112 126 156 174 202 220 250 264 282 286 334 376	1217159347730
SPT(16)	1017855234597588671	0 12 60 96 98 128 138 152 216 230 240 270 272 308 356 368	1345805726634
TPT(14)	1017855387049730231	0 2 60 62 78 80 90 92 168 170 228 230 270 272	1498257868194