Prime p₀= 733710115957312937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 112 2 64 2 10 2 160 2 4 2 (?)
a_n: 0 2 60 62 174 176 240 242 252 254 414 416 420 422
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
Found by: Theadalus
db: batch=73, k=14, 58 112 64 10 160 4

SPT(16)	733709639736548719	0 24 28 40 100 112 132 142 150 160 180 192 252 264 268 292	-476220764218
STPT(10)	733709682980605601	0 2 6 8 48 50 90 92 96 98	-432976707336
SPT(16)	733709845348978073	0 8 44 80 86 98 114 120 134 140 156 168 174 210 246 254	-270608334864
SPT(16)	733709996422051829	0 14 20 32 42 60 120 140 144 164 224 242 252 264 270 284	-119535261108
SPT(16)	733710022387629467	0 36 102 110 146 224 246 266 270 290 312 390 426 434 500 536	-93569683470
STPT(10)	733710073462100387	0 2 42 44 72 74 102 104 144 146	-42495212550
STPT(10)	733710322129589219	0 2 18 20 30 32 42 44 60 62	206172276282
STPT(10)	733710470734193801	0 2 30 32 60 62 90 92 120 122	354776880864
STPT(10)	733710643322437811	0 2 30 32 60 62 90 92 120 122	527365124874
SPT(16)	733710737898170143	0 30 46 90 100 114 118 178 216 276 280 294 304 348 364 394	621940857206
STPT(10)	733710841273201619	0 2 42 44 60 62 78 80 120 122	725315888682