Prime p₀= 873610588986117569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 58 2 22 2 4 2 22 2 (?)
a_n: 0 2 42 44 138 140 198 200 222 224 228 230 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=73, k=14, 40 94 58 22 4 22

SPT(16)	873609937987647011	0 12 32 50 62 98 110 138 182 210 222 258 270 288 308 320	-650998470558
SPT(16)	873610033356792943	0 18 24 54 96 124 144 156 178 190 210 238 280 310 316 334	-555629324626
SPT(16)	873610163513665561	0 12 40 78 100 106 112 126 142 156 162 168 190 228 256 268	-425472452008
SPT(16)	873610257715383739	0 24 78 94 102 130 144 150 172 178 192 220 228 244 298 322	-331270733830
SPT(16)	873610334171537537	0 12 14 42 80 110 116 122 144 150 156 186 224 252 254 266	-254814580032
STPT(10)	873610579734349451	0 2 36 38 78 80 120 122 156 158	-9251768118
SPT(16)	873610861294284067	0 16 42 84 100 106 132 136 180 184 210 216 232 274 300 316	272308166498
SPT(16)	873611339204149213	0 10 30 154 160 208 240 258 310 328 360 408 414 538 558 568	750218031644
SPT(16)	873611479376113069	0 12 18 60 78 100 184 202 210 228 312 334 352 394 400 412	890389995500
STPT(10)	873611578946651729	0 2 18 20 30 32 42 44 60 62	989960534160
TPT(14)	873611814293564627	0 2 54 56 114 116 162 164 282 284 294 296 402 404	1225307447058