Prime p₀= 2570421102552479549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 88 2 94 2 10 2 10 2 16 2 (?)
a_n: 0 2 72 74 162 164 258 260 270 272 282 284 300 302
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: [SG-FC] hl
db: batch=82, k=14, 70 88 94 10 10 16

SPT(16)	2570419578402760793	0 20 30 56 74 80 86 90 140 144 150 156 174 200 210 230	-1524149718756
SPT(16)	2570419669272616979	0 12 90 110 212 270 272 314 318 360 362 420 522 542 620 632	-1433279862570
SPT(16)	2570419790314953013	0 28 30 66 76 118 120 138 178 196 198 240 250 286 288 316	-1312237526536
SPT(16)	2570420124848878567	0 12 40 42 52 82 100 150 172 222 240 270 280 282 310 322	-977703600982
SPT(16)	2570420296712950037	0 12 14 44 80 96 104 114 122 132 140 156 192 222 224 236	-805839529512
STPT(10)	2570420932106836049	0 2 48 50 90 92 132 134 180 182	-170445643500
STPT(10)	2570421302247768881	0 2 6 8 18 20 30 32 36 38	199695289332
TPT(14)	2570421660154170629	0 2 48 50 78 80 102 104 120 122 240 242 252 254	557601691080
TPT(14)	2570422261707279767	0 2 30 32 84 86 132 134 144 146 240 242 300 302	1159154800218
SPT(16)	2570422316956262891	0 6 20 26 38 66 68 72 146 150 152 180 192 198 212 218	1214403783342
TPT(14)	2570422962037451867	0 2 24 26 132 134 150 152 162 164 294 296 342 344	1859484972318