Prime p₀= 2716242086597611217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 40 2 88 2 40 2 28 2 (?)
a_n: 0 2 42 44 120 122 162 164 252 254 294 296 324 326
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: 326
Found by: JayPi
db: batch=82, k=14, 40 76 40 88 40 28

SPT(16)	2716240888600103299	0 12 42 58 70 120 154 234 238 318 352 402 414 430 460 472	-1197997507918
STPT(10)	2716241139953140367	0 2 12 14 42 44 72 74 84 86	-946644470850
SPT(16)	2716241488925520301	0 6 22 30 36 70 72 76 126 130 132 166 172 180 196 202	-597672090916
SPT(16)	2716241680532561087	0 2 32 36 60 74 84 144 152 212 222 236 260 264 294 296	-406065050130
STPT(10)	2716241721499017599	0 2 18 20 30 32 42 44 60 62	-365098593618
SPT(16)	2716241994637759901	0 78 80 120 132 258 278 308 312 342 362 488 500 540 542 620	-91959851316
SPT(16)	2716242374611200269	0 20 24 32 38 48 72 104 228 260 284 294 300 308 312 332	288013589052
SPT(16)	2716242385926083587	0 34 60 66 94 96 100 114 196 210 214 216 244 250 276 310	299328472370
STPT(10)	2716242856365875621	0 2 36 38 78 80 120 122 156 158	769768264404
STPT(10)	2716242951076309349	0 2 30 32 60 62 90 92 120 122	864478698132
SPT(16)	2716243206244298447	0 12 30 36 44 72 96 120 146 170 194 222 230 236 254 266	1119646687230