Prime p₀= 946364975763960329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 100 2 10 2 28 2 (?)
a_n: 0 2 42 44 78 80 108 110 210 212 222 224 252 254
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: [SG]FX
db: batch=76, k=14, 40 34 28 100 10 28

SPT(16)	946363622110952911	0 90 106 112 132 180 196 208 210 222 238 286 306 312 328 418	-1353653007418
SPT(16)	946363929522833527	0 6 12 46 54 96 184 210 226 252 340 382 390 424 430 436	-1046241126802
SPT(16)	946364028809201567	0 26 42 96 120 162 206 284 312 390 434 476 500 554 570 596	-946954758762
STPT(10)	946364069635910711	0 2 30 32 78 80 126 128 156 158	-906128049618
SPT(18)	946364919718530197	0 14 36 44 92 114 134 152 156 200 204 222 242 264 312 320 342 356	-56045430132
TPT(14)	946364962278299099	0 2 18 20 72 74 90 92 132 134 222 224 240 242	-13485661230
SPT(16)	946365025972383443	0 6 18 24 26 66 96 116 138 158 188 228 230 236 248 254	50208423114
SPT(16)	946365318207466139	0 20 78 80 132 182 192 210 230 248 258 308 360 362 420 440	342443505810
STPT(10)	946365621571091399	0 2 18 20 30 32 42 44 60 62	645807131070
SPT(16)	946365766873297549	0 22 58 60 64 84 114 120 262 268 298 318 322 324 360 382	791109337220
SPT(16)	946366078438019611	0 52 78 88 102 126 130 136 162 168 172 196 210 220 246 298	1102674059282