Prime p₀= 1271932589437097639 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: xii5ku
db: batch=77, k=10, 2 16 2 40 2

SPT(18)	1271931637889687647	0 10 12 34 54 60 94 112 120 136 144 162 196 202 222 244 246 256	-951547409992
SPT(16)	1271931742868548679	0 8 60 114 134 168 254 284 348 378 464 498 518 572 624 632	-846568548960
STPT(10)	1271932039926138011	0 2 36 38 78 80 120 122 156 158	-549510959628
STPT(10)	1271932199201093357	0 2 30 32 72 74 114 116 144 146	-390236004282
SPT(16)	1271932443352506191	0 12 62 90 138 180 182 198 242 258 260 302 350 378 428 440	-146084591448
SPT(16)	1271932519008574037	0 2 24 54 60 80 86 102 164 180 186 206 212 242 264 266	-70428523602
STPT(10)	1271933239852757477	0 2 30 32 72 74 114 116 144 146	650415659838
STPT(10)	1271933249010729827	0 2 30 32 42 44 54 56 84 86	659573632188
TPT(14)	1271933308805148989	0 2 30 32 72 74 102 104 108 110 138 140 180 182	719368051350
STPT(12)	1271933308805149019	0 2 42 44 72 74 78 80 108 110 150 152	719368051380
SPT(16)	1271933402101789387	0 30 94 160 214 220 234 246 310 322 336 342 396 462 526 556	812664691748