Prime p₀= 2501622491521070417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 40 2 136 2 118 2 (?)
a_n: 0 2 12 14 24 26 42 44 84 86 222 224 342 344
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: 344
Found by: JayPi
db: batch=82, k=14, 10 10 16 40 136 118

SPT(16)	2501620788095496917	0 14 26 36 42 62 120 132 134 146 204 224 230 240 252 266	-1703425573500
STPT(10)	2501620913706313037	0 2 60 62 72 74 84 86 144 146	-1577814757380
STPT(12)	2501621051289230159	0 2 18 20 42 44 78 80 102 104 120 122	-1440231840258
SPT(16)	2501621539527177713	0 6 20 38 98 140 144 150 164 170 174 216 276 294 308 314	-951993892704
STPT(10)	2501621932166683187	0 2 30 32 120 122 210 212 240 242	-559354387230
STPT(10)	2501622305466366947	0 2 42 44 72 74 102 104 144 146	-186054703470
SPT(18)	2501622639550680049	0 10 34 40 42 48 78 160 172 210 222 304 334 340 342 348 372 382	148029609632
STPT(10)	2501622663532993457	0 2 30 32 72 74 114 116 144 146	172011923040
STPT(10)	2501622843777155279	0 2 18 20 30 32 42 44 60 62	352256084862
STPT(10)	2501622981555557477	0 2 60 62 102 104 144 146 204 206	490034487060
STPT(10)	2501623142558285951	0 2 6 8 18 20 30 32 36 38	651037215534