Prime p₀= 750741175116923129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 34 2 28 2 22 2 (?)
a_n: 0 2 12 14 72 74 102 104 138 140 168 170 192 194
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: 194
Found by: GLeeM
db: batch=73, k=14, 10 58 28 34 28 22

SPT(16)	750740323863510049	0 4 12 40 42 88 90 150 202 262 264 310 312 340 348 352	-851253413080
SPT(16)	750740386176986371	0 18 22 36 46 48 60 108 130 178 190 192 202 216 220 238	-788939936758
STPT(10)	750740486226983477	0 2 30 32 42 44 54 56 84 86	-688889939652
STPT(10)	750740842250589737	0 2 30 32 42 44 54 56 84 86	-332866333392
SPT(16)	750740920306678619	0 24 38 50 68 80 90 132 170 212 222 234 252 264 278 302	-254810244510
SPT(16)	750740944524741173	0 6 14 66 80 90 104 126 128 150 164 174 188 240 248 254	-230592181956
SPT(16)	750741214582899373	0 60 64 108 114 130 150 166 168 184 204 220 226 270 274 334	39465976244
STPT(10)	750741220057503947	0 2 30 32 42 44 54 56 84 86	44940580818
STPT(10)	750741333755002547	0 2 24 26 42 44 60 62 84 86	158638079418
SPT(16)	750741339576803647	0 72 114 132 144 160 186 244 252 310 336 352 364 382 424 496	164459880518
TPT(14)	750741845504627411	0 2 30 32 78 80 120 122 156 158 180 182 246 248	670387704282