Prime p₀= 1147370376169145351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 88 2 16 2 40 2 94 2 10 2 (?)
a_n: 0 2 60 62 150 152 168 170 210 212 306 308 318 320
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: 320
Found by: Alnitak2019
db: batch=76, k=14, 58 88 16 40 94 10

TPT(14)	1147369729019766839	0 2 138 140 228 230 240 242 378 380 528 530 600 602	-647149378512
SPT(16)	1147369758841811497	0 24 72 126 130 136 172 196 240 264 300 306 310 364 412 436	-617327333854
STPT(10)	1147369931806174577	0 2 54 56 72 74 90 92 144 146	-444362970774
SPT(16)	1147370231868438007	0 6 36 82 112 126 150 154 162 166 190 204 234 280 310 316	-144300707344
SPT(16)	1147370315070744419	0 2 18 42 50 68 72 84 188 200 204 222 230 254 270 272	-61098400932
SPT(16)	1147370361698688599	0 38 44 50 62 72 80 84 128 132 140 150 162 168 174 212	-14470456752
SPT(18)	1147370444033256127	0 24 34 40 90 144 156 210 214 222 226 280 292 346 396 402 412 436	67864110776
SPT(16)	1147370842541390351	0 26 62 68 78 86 92 98 120 126 132 140 150 156 192 218	466372245000
SPT(16)	1147371115508808409	0 22 24 84 94 114 148 172 300 324 358 378 388 448 450 472	739339663058
SPT(16)	1147371653778653533	0 18 28 60 66 90 96 126 220 250 256 280 286 318 328 346	1277609508182
STPT(10)	1147372018754013719	0 2 18 20 30 32 42 44 60 62	1642584868368