Prime p₀= 3029558341635056849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 160 2 34 2 22 2 (?)
a_n: 0 2 48 50 78 80 90 92 252 254 288 290 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 46 28 10 160 34 22

SPT(16)	3029556731966152441	0 30 48 58 60 70 76 106 180 210 216 226 228 238 256 286	-1609668904408
SPT(16)	3029557021755778369	0 10 42 52 70 102 108 160 162 214 220 252 270 280 312 322	-1319879278480
STPT(10)	3029557167586286411	0 2 6 8 48 50 90 92 96 98	-1174048770438
SPT(16)	3029557780494456787	0 4 16 42 64 72 120 154 162 196 244 252 274 300 312 316	-561140600062
STPT(10)	3029557798512180107	0 2 12 14 42 44 72 74 84 86	-543122876742
SPT(16)	3029557848112069489	0 18 22 64 118 144 178 204 328 354 388 414 468 510 514 532	-493522987360
STPT(10)	3029558589630306467	0 2 30 32 42 44 54 56 84 86	247995249618
SPT(16)	3029558660997037471	0 42 78 96 106 130 222 232 396 406 498 522 532 550 586 628	319361980622
TPT(14)	3029558832061735067	0 2 42 44 54 56 132 134 180 182 252 254 360 362	490426678218
STPT(10)	3029558865514304267	0 2 60 62 72 74 84 86 144 146	523879247418
TPT(14)	3029558882510008031	0 2 30 32 126 128 138 140 210 212 318 320 336 338	540874951182