Prime p₀= 2371950637936440059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 118 2 58 2 22 2 58 2 (?)
a_n: 0 2 30 32 48 50 168 170 228 230 252 254 312 314
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: Landjunge
db: batch=81, k=14, 28 16 118 58 22 58

STPT(10)	2371948942838555147	0 2 12 14 42 44 72 74 84 86	-1695097884912
STPT(10)	2371949067376518599	0 2 12 14 30 32 48 50 60 62	-1570559921460
TPT(16)	2371949288121702977	0 2 30 32 42 44 72 74 174 176 210 212 372 374 414 416	-1349814737082
SPT(16)	2371949587509609641	0 2 8 20 50 78 80 132 158 210 212 240 270 282 288 290	-1050426830418
STPT(10)	2371949967662411831	0 2 36 38 78 80 120 122 156 158	-670274028228
SPT(16)	2371950070928031311	0 2 12 20 26 32 42 56 102 116 126 132 138 146 156 158	-567008408748
STPT(10)	2371950884046997061	0 2 6 8 48 50 90 92 96 98	246110557002
SPT(16)	2371951252907202877	0 10 66 70 84 120 184 210 256 282 346 382 396 400 456 466	614970762818
SPT(16)	2371951395631308031	0 28 52 60 66 100 106 142 156 192 198 232 238 246 270 298	757694867972
SPT(16)	2371951928921421443	0 20 78 86 114 134 158 174 200 216 240 260 288 296 354 374	1290984981384
STPT(10)	2371952179454226371	0 2 36 38 78 80 120 122 156 158	1541517786312