Prime p₀= 2769872583752708339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 58 2 40 2 40 2 136 2 (?)
a_n: 0 2 48 50 78 80 138 140 180 182 222 224 360 362
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: 362
Found by: RFGuy_KCCO
db: batch=82, k=14, 46 28 58 40 40 136

SPT(16)	2769870660298330021	0 6 16 46 72 166 210 220 258 268 312 406 432 462 472 478	-1923454378318
SPT(16)	2769870725629337093	0 24 56 66 74 98 126 134 150 158 186 210 218 228 260 284	-1858123371246
SPT(16)	2769870741523593221	0 26 38 68 138 150 198 216 230 248 296 308 378 408 420 446	-1842229115118
STPT(10)	2769871011741803927	0 2 24 26 42 44 60 62 84 86	-1572010904412
SPT(16)	2769871855150131313	0 28 30 36 70 138 156 186 190 220 238 306 340 346 348 376	-728602577026
STPT(10)	2769872158057579871	0 2 6 8 18 20 30 32 36 38	-425695128468
SPT(16)	2769872789004871553	0 6 24 38 78 90 104 108 146 150 164 176 216 230 248 254	205252163214
SPT(16)	2769872942818793233	0 16 30 60 70 136 148 160 186 198 210 276 286 316 330 346	359066084894
SPT(16)	2769873229569528073	0 4 6 10 70 76 84 96 124 136 144 150 210 214 216 220	645816819734
STPT(10)	2769873238705322537	0 2 60 62 72 74 84 86 144 146	654952614198
SPT(16)	2769873396268229369	0 24 30 84 138 144 150 210 308 368 374 380 434 488 494 518	812515521030