Prime p₀= 2967912138310906097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 82 2 196 2 10 2 16 2 (?)
a_n: 0 2 84 86 150 152 234 236 432 434 444 446 462 464
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: 464
Found by: [SG-FC] hl
db: batch=82, k=14, 82 64 82 196 10 16

SPT(16)	2967909509670744461	0 8 18 36 60 110 116 138 140 162 168 218 242 260 270 278	-2628640161636
STPT(10)	2967910000905854351	0 2 6 8 48 50 90 92 96 98	-2137405051746
SPT(16)	2967910162985386253	0 20 56 78 90 104 108 140 144 176 180 194 206 228 264 284	-1975325519844
SPT(16)	2967910778360921959	0 10 18 48 52 60 90 100 102 112 142 150 154 184 192 202	-1359949984138
SPT(16)	2967911554143085769	0 20 32 42 62 72 92 128 204 240 260 270 290 300 312 332	-584167820328
STPT(12)	2967911614478406731	0 2 48 50 78 80 90 92 120 122 168 170	-523832499366
SPT(16)	2967912233188764703	0 28 30 48 150 154 178 184 204 210 234 238 340 358 360 388	94877858606
STPT(10)	2967912570346495307	0 2 30 32 42 44 54 56 84 86	432035589210
STPT(10)	2967913096779051527	0 2 12 14 42 44 72 74 84 86	958468145430
STPT(12)	2967913957083971741	0 2 18 20 30 32 96 98 108 110 126 128	1818773065644
SPT(16)	2967913998261292481	0 32 98 120 140 150 168 206 252 290 308 318 338 360 426 458	1859950386384