Prime p₀= 2656146164421237989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2656145049461831657	0 20 74 80 104 126 146 234 242 330 350 372 396 402 456 476	-1114959406332
SPT(16)	2656145379284406593	0 68 80 84 110 126 140 150 194 204 218 234 260 264 276 344	-785136831396
SPT(16)	2656145387424126413	0 8 50 98 128 140 144 158 186 200 204 216 246 294 336 344	-776997111576
STPT(10)	2656145762099244977	0 2 42 44 72 74 102 104 144 146	-402321993012
STPT(10)	2656145774483392181	0 2 156 158 168 170 180 182 336 338	-389937845808
STPT(10)	2656145977653567389	0 2 12 14 90 92 168 170 180 182	-186767670600
SPT(16)	2656146252225900097	0 4 34 42 46 66 72 82 144 154 160 180 184 192 222 226	87804662108
SPT(16)	2656146299937127511	0 66 90 150 152 176 192 222 260 290 306 330 332 392 416 482	135515889522
STPT(10)	2656146444118421171	0 2 30 32 78 80 126 128 156 158	279697183182
TPT(14)	2656148106567449027	0 2 30 32 120 122 132 134 144 146 174 176 210 212	1942146211038
SPT(16)	2656148406299556479	0 38 54 80 120 194 224 254 258 288 318 392 432 458 474 512	2241878318490