Prime p₀= 2725910692381528151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 46 2 40 2 4 2 40 2 (?)
a_n: 0 2 90 92 120 122 168 170 210 212 216 218 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 88 28 46 40 4 40

SPT(16)	2725909269060832403	0 26 30 44 86 110 120 246 308 434 444 468 510 524 528 554	-1423320695748
SPT(16)	2725909524870001381	0 6 16 28 42 48 60 88 90 118 130 136 150 162 172 178	-1167511526770
SPT(16)	2725909778230695971	0 26 50 68 102 146 158 182 186 210 222 266 300 318 342 368	-914150832180
STPT(10)	2725910159534425637	0 2 54 56 72 74 90 92 144 146	-532847102514
SPT(16)	2725910330401165027	0 54 66 70 184 214 256 304 366 414 456 486 600 604 616 670	-361980363124
SPT(16)	2725910423943527917	0 22 64 70 130 162 180 204 262 286 304 336 396 402 444 466	-268438000234
STPT(10)	2725910818336793117	0 2 30 32 60 62 90 92 120 122	125955264966
SPT(16)	2725910828967301153	0 16 34 40 54 70 76 120 244 288 294 310 324 330 348 364	136585773002
SPT(16)	2725911001021259851	0 22 66 72 130 132 156 192 280 316 340 342 400 406 450 472	308639731700
SPT(16)	2725911004727948627	0 2 50 122 134 204 210 212 252 254 260 330 342 414 462 464	312346420476
STPT(10)	2725911545285020397	0 2 30 32 42 44 54 56 84 86	852903492246