Prime p₀= 876950769421319387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 40 2 4 2 22 2 58 2 (?)
a_n: 0 2 12 14 42 44 84 86 90 92 114 116 174 176
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: 176
Found by: meadoel
db: batch=73, k=14, 10 28 40 4 22 58

SPT(13)	876949420538708807	0 24 30 42 54 72 132 192 210 222 234 240 264	-1348882610580
TPT(14)	876949676024421029	0 2 18 20 60 62 162 164 240 242 252 254 270 272	-1093396898358
SPT(18)	876949871358968467	0 12 30 34 42 54 64 82 90 106 114 132 142 154 162 166 184 196	-898062350920
SPT(16)	876949993634238493	0 100 118 144 166 168 190 216 238 264 286 288 310 336 354 454	-775787080894
SPT(16)	876950400503569477	0 22 40 54 82 96 100 112 114 126 130 144 172 186 204 226	-368917749910
STPT(10)	876950515731511979	0 2 18 20 30 32 42 44 60 62	-253689807408
SPT(16)	876950912167453913	0 18 60 104 114 128 138 174 194 230 240 254 264 308 350 368	142746134526
SPT(20)	876950976679492031	0 42 50 62 78 108 120 162 176 198 260 282 296 338 350 380 396 408 416 458	207258172644
SPT(16)	876951011481337337	0 12 54 56 72 80 102 140 156 194 216 224 240 242 284 296	242060017950
STPT(10)	876951136527037487	0 2 24 26 42 44 60 62 84 86	367105718100
TPT(14)	876951404450381399	0 2 12 14 60 62 168 170 198 200 228 230 318 320	635029062012