Prime p₀= 726770937451527389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 70 2 10 2 16 2 10 2 (?)
a_n: 0 2 42 44 108 110 180 182 192 194 210 212 222 224
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: 224
Found by: Theadalus
db: batch=73, k=14, 40 64 70 10 16 10

STPT(10)	726770408903157251	0 2 6 8 48 50 90 92 96 98	-528548370138
SPT(16)	726770429073671869	0 40 54 82 118 124 144 154 228 238 258 264 300 328 342 382	-508377855520
STPT(10)	726770475418993529	0 2 18 20 30 32 42 44 60 62	-462032533860
STPT(10)	726770600569240847	0 2 42 44 72 74 102 104 144 146	-336882286542
SPT(16)	726770814924426347	0 60 96 116 122 132 164 182 234 252 284 294 300 320 356 416	-122527101042
SPT(16)	726770836243312387	0 22 24 46 52 106 112 120 286 294 300 354 360 382 384 406	-101208215002
SPT(16)	726771209182534937	0 26 42 56 80 92 110 150 152 192 210 222 246 260 276 302	271731007548
TPT(14)	726771401214006479	0 2 42 44 168 170 210 212 270 272 282 284 300 302	463762479090
STPT(12)	726771568268395451	0 2 18 20 60 62 138 140 180 182 198 200	630816868062
SPT(16)	726771741731394421	0 76 102 108 160 178 216 222 256 262 300 318 370 376 402 478	804279867032
SPT(16)	726771830786746621	0 6 16 22 28 30 48 70 78 100 118 120 126 132 142 148	893335219232