Prime p₀= 3031949829792804749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: Alnitak2019
db: batch=82, k=10, 2 10 2 76 2

TPT(16)	3031948341027802247	0 2 60 62 84 86 102 104 294 296 342 344 414 416 504 506	-1488765002502
STPT(10)	3031948495472531819	0 2 18 20 30 32 42 44 60 62	-1334320272930
SPT(16)	3031948551526661621	0 72 150 186 210 218 228 288 290 350 360 368 392 428 506 578	-1278266143128
STPT(10)	3031948774862469071	0 2 30 32 78 80 126 128 156 158	-1054930335678
STPT(10)	3031949223235464911	0 2 36 38 78 80 120 122 156 158	-606557339838
SPT(16)	3031949812201705097	0 24 30 72 104 140 164 180 224 240 264 300 332 374 380 404	-17591099652
SPT(16)	3031950035536516883	0 24 26 38 54 60 78 218 276 416 434 440 456 468 470 494	205743712134
TPT(14)	3031950061673631029	0 2 192 194 198 200 252 254 330 332 372 374 390 392	231880826280
SPT(16)	3031950148195074143	0 24 38 48 56 78 90 98 126 134 146 168 176 186 200 224	318402269394
SPT(16)	3031950713761515341	0 32 60 78 92 120 152 180 230 258 290 318 332 350 378 410	883968710592
TPT(14)	3031950822355741379	0 2 60 62 132 134 162 164 168 170 198 200 228 230	992562936630