Prime p₀= 599561292924559781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 28 2 40 2 28 2 10 2 (?)
a_n: 0 2 96 98 156 158 186 188 228 230 258 260 270 272
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: 272
Found by: ChelseaOilman
db: batch=58, k=14, 94 58 28 40 28 10

SPT(14)	599561224134323447	0 2 62 90 126 140 146 150 156 170 206 234 294 296	-68790236334
SPT(14)	599561234114185639	0 52 70 90 108 112 160 192 240 244 262 282 300 352	-58810374142
SPT(14)	599561250615897413	0 6 30 60 68 104 158 336 390 426 434 464 488 494	-42308662368
TPT(12)	599561250882390539	0 2 30 32 78 80 138 140 198 200 222 224	-42042169242
SPT(14)	599561262964688027	0 6 20 42 56 66 86 90 110 120 134 156 170 176	-29959871754
SPT(14)	599561274382408757	0 6 12 30 66 80 200 222 342 356 392 410 416 422	-18542151024
SPT(14)	599561312323683799	0 22 24 52 70 94 180 244 330 354 372 400 402 424	19399124018
SPT(14)	599561332140421921	0 28 58 72 78 88 90 100 102 112 118 132 162 190	39215862140
SPT(14)	599561339186500429	0 4 12 48 90 118 142 270 294 322 364 400 408 412	46261940648
SPT(14)	599561342260257007	0 12 16 54 70 72 94 102 124 126 142 180 184 196	49335697226
SPT(14)	599561343949992077	0 12 14 30 42 56 96 170 210 224 236 252 254 266	51025432296