Prime p₀= 1245771729826373129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 196 2 10 2 28 2 4 2 (?)
a_n: 0 2 18 20 42 44 240 242 252 254 282 284 288 290
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: 290
Found by: emoga
db: batch=77, k=14, 16 22 196 10 28 4

SPT(16)	1245770549127010367	0 2 6 32 86 126 132 170 186 224 230 270 324 350 354 356	-1180699362762
TPT(14)	1245770698215306479	0 2 12 14 102 104 138 140 240 242 270 272 282 284	-1031611066650
SPT(16)	1245770886425190899	0 14 42 60 68 90 98 104 138 144 152 174 182 200 228 242	-843401182230
SPT(16)	1245770930907245299	0 42 82 204 228 238 244 250 252 258 264 274 298 420 460 502	-798919127830
SPT(16)	1245771047152847203	0 24 58 66 136 150 190 196 228 234 274 288 358 366 400 424	-682673525926
SPT(16)	1245771138032083667	0 14 32 44 60 92 120 134 222 236 264 296 312 324 342 356	-591794289462
SPT(16)	1245772034085521797	0 30 46 70 126 210 316 352 504 540 646 730 786 810 826 856	304259148668
STPT(10)	1245772186237878161	0 2 30 32 78 80 126 128 156 158	456411505032
SPT(16)	1245772402578026203	0 4 60 96 136 144 180 238 336 394 430 438 478 514 570 574	672751653074
STPT(10)	1245772445625809999	0 2 18 20 30 32 42 44 60 62	715799436870
SPT(16)	1245772521490819459	0 4 88 90 102 130 174 198 244 268 312 340 352 354 438 442	791664446330