Prime p₀= 2567329925271801629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2567328464445852073	0 4 30 40 70 114 198 256 348 406 490 534 564 574 600 604	-1460825949556
SPT(16)	2567328483650762921	0 20 48 56 60 66 96 122 126 152 182 188 192 200 228 248	-1441621038708
SPT(16)	2567328578869456547	0 84 134 150 162 210 224 230 246 252 266 314 326 342 392 476	-1346402345082
STPT(10)	2567329194652743341	0 2 6 8 18 20 30 32 36 38	-730619058288
TPT(14)	2567329538300140301	0 2 30 32 48 50 198 200 210 212 216 218 240 242	-386971661328
SPT(16)	2567329856526963977	0 36 42 56 66 102 144 150 176 182 224 260 270 284 290 326	-68744837652
TPT(14)	2567330017722563747	0 2 90 92 132 134 162 164 210 212 390 392 504 506	92450762118
STPT(10)	2567331073178572037	0 2 30 32 42 44 54 56 84 86	1147906770408
STPT(10)	2567331545456436041	0 2 6 8 48 50 90 92 96 98	1620184634412
STPT(10)	2567331626004866561	0 2 36 38 78 80 120 122 156 158	1700733064932
SPT(16)	2567331955232731103	0 18 54 84 86 128 138 140 174 176 186 228 230 260 296 314	2029960929474