Prime p₀= 1456660413247670129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 16 2 130 2 34 2 10 2 (?)
a_n: 0 2 90 92 102 104 120 122 252 254 288 290 300 302
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: 302
Found by: ladmo
db: batch=78, k=14, 88 10 16 130 34 10

SPT(16)	1456659210288914741	0 20 50 62 102 110 162 168 272 278 330 338 378 390 420 440	-1202958755388
TPT(16)	1456659508364026691	0 2 30 32 60 62 156 158 240 242 420 422 468 470 636 638	-904883643438
STPT(10)	1456659842528397719	0 2 18 20 60 62 102 104 120 122	-570719272410
STPT(10)	1456660179245768591	0 2 6 8 48 50 90 92 96 98	-234001901538
SPT(16)	1456660246547425537	0 24 30 60 70 94 114 142 204 232 252 276 286 316 322 346	-166700244592
STPT(12)	1456660287339483641	0 2 18 20 30 32 186 188 198 200 216 218	-125908186488
SPT(16)	1456660923518130487	0 24 84 150 190 210 222 234 262 274 286 306 346 412 472 496	510270460358
SPT(16)	1456661042732961529	0 28 60 90 100 142 144 178 234 268 270 312 322 352 384 412	629485291400
SPT(16)	1456661193938314789	0 54 60 84 118 120 172 174 328 330 382 384 418 442 448 502	780690644660
SPT(16)	1456661228079514439	0 20 24 38 80 90 108 114 224 230 248 258 300 314 318 338	814831844310
SPT(16)	1456661361923228861	0 2 30 80 116 126 138 152 156 170 182 192 228 278 306 308	948675558732