Prime p₀= 3021035770895151479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 148 2 58 2 34 2 58 2 22 2 (?)
a_n: 0 2 42 44 192 194 252 254 288 290 348 350 372 374
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: 374
Found by: Alnitak2019
db: batch=82, k=14, 40 148 58 34 58 22

SPT(16)	3021035204238751741	0 6 30 48 66 72 82 100 108 126 136 142 160 178 202 208	-566656399738
SPT(16)	3021035205942582589	0 54 120 154 220 222 238 304 348 414 430 432 498 532 598 652	-564952568890
STPT(10)	3021035259750536387	0 2 60 62 72 74 84 86 144 146	-511144615092
STPT(10)	3021035443601556737	0 2 30 32 72 74 114 116 144 146	-327293594742
SPT(16)	3021035656151310649	0 34 78 118 168 178 202 220 312 330 354 364 414 454 498 532	-114743840830
STPT(10)	3021035666779736699	0 2 42 44 60 62 78 80 120 122	-104115414780
SPT(16)	3021035978981220271	0 22 30 42 58 106 276 298 330 352 522 570 586 598 606 628	208086068792
STPT(10)	3021036027278347961	0 2 36 38 78 80 120 122 156 158	256383196482
TPT(14)	3021036125470374041	0 2 6 8 18 20 30 32 60 62 120 122 216 218	354575222562
TPT(14)	3021036437820244631	0 2 6 8 138 140 210 212 216 218 228 230 300 302	666925093152
STPT(10)	3021036594459747509	0 2 48 50 60 62 72 74 120 122	823564596030