Prime p₀= 1945351725937307867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 16 2 10 2 16 2 76 2 (?)
a_n: 0 2 60 62 84 86 102 104 114 116 132 134 210 212
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: 212
Found by: Landjunge
db: batch=80, k=14, 58 22 16 10 16 76

SPT(16)	1945350405713867059	0 10 34 70 118 154 162 178 204 220 228 264 312 348 372 382	-1320223440808
STPT(10)	1945350673679651057	0 2 30 32 42 44 54 56 84 86	-1052257656810
SPT(16)	1945350761688346021	0 6 36 52 72 100 120 126 136 142 162 190 210 226 256 262	-964248961846
STPT(10)	1945350843299697257	0 2 54 56 72 74 90 92 144 146	-882637610610
SPT(16)	1945350965498653541	0 8 20 26 50 56 78 90 98 110 132 138 162 168 180 188	-760438654326
STPT(10)	1945351059597954551	0 2 6 8 48 50 90 92 96 98	-666339353316
STPT(10)	1945352218084090139	0 2 42 44 60 62 78 80 120 122	492146782272
SPT(16)	1945352457349255991	0 38 72 92 158 182 192 242 246 296 306 330 396 416 450 488	731411948124
SPT(16)	1945352541934434331	0 18 40 46 58 70 90 108 118 136 156 168 180 186 208 226	815997126464
STPT(10)	1945352548510066481	0 2 30 32 60 62 90 92 120 122	822572758614
SPT(16)	1945352851071449647	0 6 10 16 66 100 126 130 216 220 246 280 330 336 340 346	1125134141780