Prime p₀= 1079121182614242707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 88 2 10 2 148 2 184 2 (?)
a_n: 0 2 30 32 42 44 132 134 144 146 294 296 480 482
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: 482
Found by: Theadalus
db: batch=76, k=14, 28 10 88 10 148 184

SPT(16)	1079120537160873293	0 36 66 114 128 150 164 168 206 210 224 246 260 308 338 374	-645453369414
STPT(10)	1079120910530098769	0 2 12 14 90 92 168 170 180 182	-272084143938
SPT(16)	1079120938799400841	0 16 22 28 66 88 106 126 172 192 210 232 270 276 282 298	-243814841866
SPT(16)	1079121009904504717	0 54 72 82 112 222 232 274 300 342 352 462 492 502 520 574	-172709737990
SPT(16)	1079121028815449489	0 18 42 44 60 78 132 150 182 200 254 272 288 290 314 332	-153798793218
STPT(10)	1079121068651660789	0 2 18 20 30 32 42 44 60 62	-113962581918
SPT(16)	1079121213252801379	0 100 112 114 154 174 192 238 264 310 328 348 388 390 402 502	30638558672
SPT(16)	1079121213347901599	0 42 68 80 98 108 120 150 152 182 194 204 222 234 260 302	30733658892
STPT(10)	1079121330484007231	0 2 36 38 78 80 120 122 156 158	147869764524
SPT(16)	1079121361162127149	0 28 94 102 114 198 210 234 298 322 334 418 430 438 504 532	178547884442
STPT(10)	1079121387824184077	0 2 90 92 102 104 114 116 204 206	205209941370