Prime p₀= 2567080893940045097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2567077970010930569	0 32 44 48 114 144 182 212 240 270 308 338 404 408 420 452	-2923929114528
STPT(10)	2567078430329827259	0 2 18 20 30 32 42 44 60 62	-2463610217838
SPT(16)	2567078623189015951	0 10 22 46 52 60 72 96 112 136 148 156 162 186 198 208	-2270751029146
TPT(14)	2567079402679159559	0 2 48 50 78 80 90 92 120 122 162 164 228 230	-1491260885538
STPT(10)	2567079716929678799	0 2 30 32 60 62 90 92 120 122	-1177010366298
STPT(10)	2567080472585877881	0 2 6 8 48 50 90 92 96 98	-421354167216
SPT(16)	2567081443787578433	0 8 14 18 24 44 74 86 198 210 240 260 266 270 276 284	549847533336
SPT(16)	2567081460847910189	0 2 24 32 44 84 212 234 260 282 410 450 462 470 492 494	566907865092
STPT(10)	2567081722599573041	0 2 30 32 78 80 126 128 156 158	828659527944
TPT(14)	2567081791249069121	0 2 18 20 60 62 156 158 198 200 228 230 240 242	897309024024
STPT(10)	2567082088178685071	0 2 36 38 78 80 120 122 156 158	1194238639974