Prime p₀= 1126680828405354917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1126679131283962391	0 2 36 38 78 80 120 122 156 158	-1697121392526
STPT(10)	1126679740587856121	0 2 6 8 18 20 30 32 36 38	-1087817498796
STPT(10)	1126679858234949839	0 2 42 44 60 62 78 80 120 122	-970170405078
SPT(16)	1126680032621854661	0 12 56 60 62 108 110 152 186 228 230 276 278 282 326 338	-795783500256
SPT(16)	1126680133240608721	0 10 12 52 78 112 120 136 162 178 186 220 246 286 288 298	-695164746196
SPT(16)	1126680674264165333	0 26 48 66 96 120 210 258 278 326 416 440 470 488 510 536	-154141189584
SPT(16)	1126680849848601457	0 12 36 42 46 154 190 210 226 246 282 390 394 400 424 436	21443246540
SPT(16)	1126681320193278253	0 46 60 78 88 94 120 136 138 154 180 186 196 214 228 274	491787923336
SPT(16)	1126681368846655211	0 18 42 80 90 182 192 248 252 308 318 410 420 458 482 500	540441300294
TPT(14)	1126682040793607789	0 2 30 32 108 110 150 152 162 164 168 170 252 254	1212388252872
STPT(10)	1126682095774740257	0 2 30 32 42 44 54 56 84 86	1267369385340