Prime p₀= 2329150946861735597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 178 2 16 2 28 2 118 2 (?)
a_n: 0 2 12 14 54 56 234 236 252 254 282 284 402 404
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: 404
Found by: Landjunge
db: batch=81, k=14, 10 40 178 16 28 118

SPT(18)	2329149394069688551	0 30 40 58 72 102 132 138 160 210 232 238 268 298 312 330 340 370	-1552792047046
SPT(16)	2329149650835320123	0 20 26 90 98 110 128 140 144 156 174 186 194 258 264 284	-1296026415474
STPT(10)	2329149804949283681	0 2 30 32 78 80 126 128 156 158	-1141912451916
SPT(16)	2329149923406464707	0 24 64 66 96 112 124 126 160 162 174 190 220 222 262 286	-1023455270890
TPT(14)	2329150076605383287	0 2 12 14 42 44 114 116 180 182 252 254 384 386	-870256352310
SPT(16)	2329150205056667513	0 8 56 104 114 140 176 198 236 258 294 320 330 378 426 434	-741805068084
SPT(16)	2329150972275509867	0 2 14 20 66 102 116 174 182 240 254 290 336 342 354 356	25413774270
TPT(16)	2329151139464263397	0 2 162 164 174 176 252 254 264 266 294 296 330 332 360 362	192602527800
SPT(16)	2329151410592688217	0 4 60 64 72 76 132 142 144 154 210 214 222 226 282 286	463730952620
STPT(12)	2329151857430883299	0 2 12 14 42 44 48 50 78 80 90 92	910569147702
TPT(16)	2329151928361446821	0 2 6 8 66 68 90 92 96 98 150 152 276 278 306 308	981499711224