Prime p₀= 812542768884226379 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: [SG]FX
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	812540953264676717	0 2 90 92 132 134 174 176 264 266	-1815619549662
SPT(16)	812541003519700211	0 18 42 80 92 110 122 152 168 198 210 228 240 278 302 320	-1765364526168
TPT(14)	812541296296098827	0 2 150 152 174 176 300 302 330 332 390 392 402 404	-1472588127552
TPT(14)	812541390100759901	0 2 36 38 108 110 138 140 150 152 156 158 180 182	-1378783466478
SPT(16)	812541862260661681	0 10 96 100 130 136 162 168 250 256 282 288 318 322 408 418	-906623564698
SPT(16)	812542057567442599	0 4 18 24 34 70 78 82 90 94 102 138 148 154 168 172	-711316783780
SPT(16)	812542775857966583	0 56 96 146 188 206 210 288 446 524 528 546 588 638 678 734	6973740204
SPT(16)	812542993106907241	0 12 36 46 76 102 112 126 166 180 190 216 246 256 280 292	224222680862
STPT(10)	812543004825388931	0 2 6 8 48 50 90 92 96 98	235941162552
STPT(10)	812543094445144001	0 2 36 38 78 80 120 122 156 158	325560917622
SPT(16)	812543550477994859	0 24 30 62 90 122 128 170 192 234 240 272 300 332 338 362	781593768480