Prime p₀= 2869431018351363161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 58 2 16 2 88 2 28 2 40 2 (?)
a_n: 0 2 90 92 150 152 168 170 258 260 288 290 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 88 58 16 88 28 40

SPT(16)	2869428878787086249	0 20 44 60 62 72 110 128 144 162 200 210 212 228 252 272	-2139564276912
SPT(16)	2869428894108119743	0 58 88 108 124 178 184 190 228 234 240 294 310 330 360 418	-2124243243418
TPT(14)	2869428965074656029	0 2 12 14 42 44 78 80 90 92 138 140 168 170	-2053276707132
SPT(16)	2869429346316719621	0 2 12 30 78 120 140 152 168 180 200 242 290 308 318 320	-1672034643540
SPT(16)	2869430139382438921	0 18 22 48 60 102 106 178 210 282 286 328 340 366 370 388	-878968924240
STPT(10)	2869430594478151367	0 2 42 44 72 74 102 104 144 146	-423873211794
STPT(10)	2869431048874642457	0 2 30 32 102 104 174 176 204 206	30523279296
STPT(10)	2869431091114152527	0 2 30 32 42 44 54 56 84 86	72762789366
STPT(10)	2869431097184117657	0 2 90 92 102 104 114 116 204 206	78832754496
STPT(10)	2869431100113242837	0 2 30 32 42 44 54 56 84 86	81761879676
STPT(10)	2869431230197230989	0 2 42 44 90 92 138 140 180 182	211845867828