Prime p₀= 2275118308934592221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 16 2 46 2 40 2 46 2 (?)
a_n: 0 2 48 50 60 62 78 80 126 128 168 170 216 218
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: 218
Found by: Landjunge
db: batch=81, k=14, 46 10 16 46 40 46

SPT(16)	2275117415243170417	0 24 34 64 84 142 162 204 232 274 294 352 372 402 412 436	-893691421804
STPT(10)	2275117483788730289	0 2 42 44 60 62 78 80 120 122	-825145861932
SPT(16)	2275117643646992437	0 10 90 102 130 252 262 282 364 384 394 516 544 556 636 646	-665287599784
STPT(10)	2275117706326675787	0 2 90 92 150 152 210 212 300 302	-602607916434
SPT(16)	2275117986731587649	0 192 194 198 308 312 378 402 410 434 500 504 614 618 620 812	-322203004572
SPT(16)	2275118250942238127	0 32 60 72 114 116 150 164 192 206 240 242 284 296 324 356	-57992354094
SPT(18)	2275118407683735589	0 28 48 78 82 94 148 162 210 232 280 294 348 360 364 394 414 442	98749143368
STPT(10)	2275118596826326127	0 2 30 32 60 62 90 92 120 122	287891733906
SPT(16)	2275118841568944361	0 22 82 90 102 132 148 156 172 180 196 226 238 246 306 328	532634352140
SPT(16)	2275118976411727931	0 2 6 20 30 56 72 80 132 140 156 182 192 206 210 212	667477135710
SPT(16)	2275119120307465379	0 2 8 12 30 54 120 134 198 212 278 302 320 324 330 332	811372873158