Prime p₀= 751967321600007239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 46 2 88 2 70 2 (?)
a_n: 0 2 60 62 72 74 102 104 150 152 240 242 312 314
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: GLeeM
db: batch=73, k=14, 58 10 28 46 88 70

TPT(14)	751966009295374847	0 2 24 26 30 32 54 56 84 86 114 116 120 122	-1312304632392
SPT(16)	751966203646122923	0 6 8 50 80 108 134 146 198 210 236 264 294 336 338 344	-1117953884316
TPT(14)	751966538151252881	0 2 18 20 30 32 78 80 90 92 156 158 186 188	-783448754358
SPT(16)	751966800053114137	0 16 34 72 90 100 114 126 160 172 186 196 214 252 270 286	-521546893102
SPT(16)	751967025556514869	0 24 54 70 72 78 100 114 118 132 154 160 162 178 208 232	-296043492370
STPT(10)	751967164670600687	0 2 54 56 72 74 90 92 144 146	-156929406552
STPT(10)	751967629996597769	0 2 18 20 30 32 42 44 60 62	308396590530
STPT(10)	751967778275438687	0 2 30 32 42 44 54 56 84 86	456675431448
TPT(14)	751967864523614309	0 2 138 140 180 182 198 200 240 242 270 272 312 314	542923607070
SPT(16)	751967935973717681	0 12 56 96 116 126 138 140 168 170 182 192 212 252 296 308	614373710442
SPT(16)	751968329447500043	0 8 14 30 48 68 98 116 198 216 246 266 284 300 306 314	1007847492804