Prime p₀= 518027243890520387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 88 2 28 2 64 2 58 2 (?)
a_n: 0 2 60 62 84 86 174 176 204 206 270 272 330 332
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: 332
Found by: nenym
db: batch=71, k=14, 58 22 88 28 64 58

SPT(14)	518027163810244079	0 18 38 104 150 164 182 210 228 242 288 354 374 392	-80080276308
SPT(14)	518027167136201731	0 16 22 28 42 46 52 156 162 166 180 186 192 208	-76754318656
SPT(14)	518027187204204191	0 20 26 68 86 92 96 122 126 132 150 192 198 218	-56686316196
TPT(12)	518027203323791717	0 2 12 14 90 92 132 134 150 152 174 176	-40566728670
STPT(12)	518027243405069897	0 2 30 32 42 44 132 134 144 146 174 176	-485450490
TPT(12)	518027243405069897	0 2 30 32 42 44 132 134 144 146 174 176	-485450490
SPT(14)	518027244655312351	0 22 36 72 78 82 102 166 186 190 196 232 246 268	764791964
SPT(14)	518027257055999227	0 4 34 40 42 54 66 70 82 94 96 102 132 136	13165478840
SPT(14)	518027260047039637	0 12 60 76 112 114 126 130 142 144 180 196 244 256	16156519250
SPT(14)	518027277872274349	0 12 40 72 90 124 160 204 240 274 292 324 352 364	33981753962
SPT(14)	518027314058602349	0 8 50 84 102 134 200 222 288 320 338 372 414 422	70168081962