Prime p₀= 2040627623327653049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: eclipse99
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2040626643357077213	0 20 26 48 50 96 110 176 300 366 380 426 428 450 456 476	-979970575836
STPT(10)	2040626757785916359	0 2 12 14 90 92 168 170 180 182	-865541736690
SPT(16)	2040626837188361687	0 14 20 56 84 90 116 146 210 240 266 272 300 336 342 356	-786139291362
TPT(14)	2040626853435278597	0 2 24 26 60 62 144 146 210 212 222 224 234 236	-769892374452
SPT(18)	2040626901122389949	0 14 54 62 90 102 134 158 174 188 204 228 260 272 300 308 348 362	-722205263100
STPT(10)	2040627380555466299	0 2 42 44 60 62 78 80 120 122	-242772186750
SPT(16)	2040627751009749821	0 8 50 110 236 252 260 336 392 468 476 492 618 678 720 728	127682096772
SPT(16)	2040627794870981111	0 32 92 96 116 122 138 162 206 230 246 252 272 276 336 368	171543328062
SPT(16)	2040627912571161451	0 42 46 52 72 136 168 222 226 280 312 376 396 402 406 448	289243508402
SPT(16)	2040628326604136173	0 6 28 46 48 76 88 90 154 156 168 196 198 216 238 244	703276483124
STPT(10)	2040628343571371399	0 2 18 20 30 32 42 44 60 62	720243718350