Prime p₀= 2888829044252348801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 70 2 58 2 28 2 10 2 (?)
a_n: 0 2 48 50 126 128 198 200 258 260 288 290 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 46 76 70 58 28 10

SPT(16)	2888827891240804223	0 6 20 54 60 78 86 144 170 228 236 254 260 294 308 314	-1153011544578
STPT(10)	2888827910630798369	0 2 48 50 60 62 72 74 120 122	-1133621550432
STPT(10)	2888828017228525259	0 2 18 20 30 32 42 44 60 62	-1027023823542
SPT(16)	2888828138740594283	0 18 24 38 80 126 146 156 158 168 188 234 276 290 296 314	-905511754518
STPT(10)	2888828543087065487	0 2 30 32 42 44 54 56 84 86	-501165283314
STPT(10)	2888829031870655957	0 2 30 32 72 74 114 116 144 146	-12381692844
SPT(16)	2888829178714830101	0 2 32 56 78 102 122 150 218 246 266 290 312 336 366 368	134462481300
STPT(10)	2888829366598144589	0 2 42 44 90 92 138 140 180 182	322345795788
SPT(16)	2888829442043906791	0 30 70 106 150 156 162 196 282 316 322 328 372 408 448 478	397791557990
SPT(16)	2888829604033433059	0 24 28 30 90 124 132 138 154 160 168 202 262 264 268 292	559781084258
SPT(16)	2888829814372732201	0 48 52 70 88 100 108 130 180 202 210 222 240 258 262 310	770120383400