Prime p₀= 2725815609917021201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 88 2 76 2 40 2 16 2 16 2 (?)
a_n: 0 2 150 152 240 242 318 320 360 362 378 380 396 398
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: 398
Found by: JayPi
db: batch=82, k=14, 148 88 76 40 16 16

SPT(16)	2725814439980518013	0 8 30 54 56 78 138 156 248 266 326 348 350 374 396 404	-1169936503188
TPT(14)	2725814541311464151	0 2 90 92 150 152 306 308 360 362 378 380 390 392	-1068605557050
SPT(16)	2725814958482838671	0 26 42 78 116 122 126 182 306 362 366 372 410 446 462 488	-651434182530
SPT(16)	2725815368510223089	0 20 38 62 72 92 128 144 188 204 240 260 270 294 312 332	-241406798112
SPT(16)	2725815391023738329	0 30 60 78 114 138 144 180 182 218 224 248 284 302 332 362	-218893282872
STPT(10)	2725815535050884369	0 2 42 44 60 62 78 80 120 122	-74866136832
STPT(10)	2725815672623893697	0 2 12 14 42 44 72 74 84 86	62706872496
STPT(10)	2725816438043851037	0 2 30 32 42 44 54 56 84 86	828126829836
STPT(10)	2725816845246574991	0 2 6 8 18 20 30 32 36 38	1235329553790
SPT(16)	2725816885984957117	0 22 30 40 52 90 126 132 184 190 226 264 276 286 294 316	1276067935916
STPT(10)	2725817494022111219	0 2 132 134 150 152 168 170 300 302	1884105090018