Prime p₀= 1137835098544165337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1137833307538170703	0 6 10 54 76 120 126 174 280 328 334 378 400 444 448 454	-1791005994634
SPT(16)	1137833332747381667	0 42 56 62 80 132 134 144 182 192 194 246 264 270 284 326	-1765796783670
TPT(14)	1137833529477161849	0 2 48 50 78 80 90 92 138 140 288 290 300 302	-1569067003488
STPT(10)	1137833859148505999	0 2 18 20 30 32 42 44 60 62	-1239395659338
STPT(10)	1137834347647367339	0 2 12 14 30 32 48 50 60 62	-750896797998
SPT(16)	1137835045274483447	0 6 20 30 56 62 80 86 126 132 150 156 182 192 206 212	-53269681890
SPT(16)	1137835108366854097	0 6 36 70 156 160 162 202 210 250 252 256 342 376 406 412	9822688760
SPT(16)	1137835144462554253	0 16 30 36 58 70 78 88 126 136 144 156 178 184 198 214	45918388916
STPT(10)	1137835369041229889	0 2 18 20 30 32 42 44 60 62	270497064552
STPT(10)	1137835417824100811	0 2 6 8 48 50 90 92 96 98	319279935474
TPT(14)	1137835445048733647	0 2 54 56 72 74 102 104 150 152 234 236 240 242	346504568310