Prime p₀= 2955400388491596011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 16 2 28 2 178 2 22 2 (?)
a_n: 0 2 96 98 108 110 126 128 156 158 336 338 360 362
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: 362
Found by: Rantanplan
db: batch=82, k=14, 94 10 16 28 178 22

SPT(16)	2955398946200049253	0 28 48 84 88 100 108 114 130 136 144 156 160 196 216 244	-1442291546758
SPT(16)	2955399188031472157	0 42 44 54 134 150 152 180 236 264 266 282 362 372 374 416	-1200460123854
SPT(16)	2955399429446892047	0 36 50 72 110 132 146 176 180 210 224 246 284 306 320 356	-959044703964
SPT(16)	2955399744964373621	0 32 36 66 90 102 132 192 200 260 290 302 326 356 360 392	-643527222390
STPT(10)	2955400130001963401	0 2 6 8 18 20 30 32 36 38	-258489632610
SPT(16)	2955400142527336739	0 30 54 60 98 110 134 140 198 204 228 240 278 284 308 338	-245964259272
TPT(14)	2955400633500983117	0 2 30 32 72 74 84 86 90 92 114 116 162 164	245009387106
SPT(16)	2955400666149049451	0 26 92 110 132 156 180 182 210 212 236 260 282 300 366 392	277657453440
STPT(10)	2955400739238848669	0 2 18 20 30 32 42 44 60 62	350747252658
SPT(16)	2955400924905284701	0 18 48 52 82 112 118 150 160 192 198 228 258 262 292 310	536413688690
SPT(16)	2955400979247101237	0 12 24 26 42 102 132 144 152 164 194 254 270 272 284 296	590755505226