Prime p₀= 1523373898569347287 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 20 42 18 12 10 38 10 38 10 12 18 42 20 22 (?)
a_n: 0 22 42 84 102 114 124 162 172 210 220 232 250 292 312 334
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 334
Found by: Theadalus
db: batch=78, k=16, 22 20 42 18 12 10 38 10

SPT(16)	1523372788522210477	0 12 36 54 64 66 76 124 132 180 190 192 202 220 244 256	-1110047136810
STPT(10)	1523372798057451137	0 2 24 26 42 44 60 62 84 86	-1100511896150
SPT(16)	1523373143154110377	0 42 70 72 84 90 106 112 114 120 136 142 154 156 184 226	-755415236910
SPT(20)	1523373186213503519	0 24 30 90 98 102 144 164 234 312 320 398 468 488 530 534 542 602 608 632	-712355843768
STPT(10)	1523373331313370137	0 2 42 44 72 74 102 104 144 146	-567255977150
SPT(16)	1523373629286349769	0 8 78 102 110 122 134 140 162 168 180 192 200 224 294 302	-269282997518
SPT(16)	1523373943312251181	0 46 72 78 112 126 142 172 186 216 232 246 280 286 312 358	44742903894
TPT(14)	1523373976595770919	0 2 42 44 72 74 90 92 102 104 138 140 168 170	78026423632
STPT(10)	1523373978634585547	0 2 30 32 42 44 54 56 84 86	80065238260
SPT(16)	1523374029620204941	0 40 138 208 222 246 286 300 358 372 412 436 450 520 618 658	131050857654
STPT(10)	1523374146495311879	0 2 18 20 30 32 42 44 60 62	247925964592