Prime p₀= 1081038646686791657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1081037366467988707	0 10 12 24 30 70 72 82 84 94 96 136 142 154 156 166	-1280218802950
SPT(16)	1081037441380111871	0 8 32 42 50 138 152 182 186 216 230 318 326 336 360 368	-1205306679786
SPT(16)	1081037560635481511	0 18 30 66 86 96 110 138 200 228 242 252 272 308 320 338	-1086051310146
TPT(14)	1081037720475525077	0 2 72 74 144 146 234 236 270 272 282 284 402 404	-926211266580
STPT(10)	1081037777161420577	0 2 30 32 72 74 114 116 144 146	-869525371080
STPT(10)	1081038314262529409	0 2 42 44 90 92 138 140 180 182	-332424262248
SPT(16)	1081038966784490617	0 30 36 82 112 124 154 166 210 222 252 264 294 340 346 376	320097698960
SPT(16)	1081038968303206061	0 32 42 80 86 116 120 168 290 338 342 372 378 416 426 458	321616414404
STPT(10)	1081039035102096839	0 2 18 20 30 32 42 44 60 62	388415305182
SPT(16)	1081039097514986531	0 32 38 56 62 126 152 176 192 216 242 306 312 330 336 368	450828194874
SPT(16)	1081039250055034819	0 24 30 48 82 142 178 190 252 264 300 360 394 412 418 442	603368243162