Prime p₀= 751966009295374847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 22 2 28 2 28 2 4 2 (?)
a_n: 0 2 24 26 30 32 54 56 84 86 114 116 120 122
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: 122
Found by: GLeeM
db: batch=73, k=14, 22 4 22 28 28 4

SPT(16)	751965768570715199	0 18 20 30 48 54 62 90 182 210 218 224 242 252 254 272	-240724659648
STPT(10)	751965783983660759	0 2 42 44 60 62 78 80 120 122	-225311714088
STPT(10)	751965799180284509	0 2 78 80 120 122 162 164 240 242	-210115090338
SPT(16)	751965840525774443	0 6 114 134 158 176 260 270 284 294 378 396 420 440 548 554	-168769600404
STPT(10)	751965868396971227	0 2 24 26 42 44 60 62 84 86	-140898403620
SPT(16)	751965932911463563	0 24 34 94 156 160 198 216 238 256 294 298 360 420 430 454	-76383911284
SPT(16)	751966203646122923	0 6 8 50 80 108 134 146 198 210 236 264 294 336 338 344	194350748076
TPT(14)	751966538151252881	0 2 18 20 30 32 78 80 90 92 156 158 186 188	528855878034
SPT(16)	751966800053114137	0 16 34 72 90 100 114 126 160 172 186 196 214 252 270 286	790757739290
SPT(16)	751967025556514869	0 24 54 70 72 78 100 114 118 132 154 160 162 178 208 232	1016261140022
STPT(10)	751967164670600687	0 2 54 56 72 74 90 92 144 146	1155375225840