Prime p₀= 2320640730066458159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 70 2 16 2 10 2 40 2 (?)
a_n: 0 2 42 44 48 50 120 122 138 140 150 152 192 194
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: 194
Found by: eclipse99
db: batch=81, k=14, 40 4 70 16 10 40

SPT(16)	2320639620530621573	0 14 68 108 128 134 156 186 218 248 270 276 296 336 390 404	-1109535836586
SPT(16)	2320639762707215879	0 14 20 42 48 62 114 152 210 248 300 314 320 342 348 362	-967359242280
STPT(10)	2320640004023416259	0 2 18 20 30 32 42 44 60 62	-726043041900
STPT(10)	2320640071131980537	0 2 30 32 60 62 90 92 120 122	-658934477622
SPT(16)	2320640592483306721	0 28 42 90 96 130 160 202 216 258 288 322 328 376 390 418	-137583151438
SPT(16)	2320640687861084867	0 32 80 122 126 152 176 192 194 210 234 260 264 306 354 386	-42205373292
SPT(16)	2320640924915977159	0 30 58 88 108 112 144 202 210 268 300 304 324 354 382 412	194849519000
SPT(16)	2320641060447123467	0 44 54 72 132 146 152 176 180 204 210 224 284 302 312 356	330380665308
SPT(16)	2320641098100520823	0 8 20 66 80 108 150 206 228 284 326 354 368 414 426 434	368034062664
STPT(10)	2320641241565963969	0 2 78 80 120 122 162 164 240 242	511499505810
STPT(10)	2320641610399880627	0 2 30 32 72 74 114 116 144 146	880333422468