Prime p₀= 2506470864147259811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 28 2 28 2 16 2 22 2 (?)
a_n: 0 2 48 50 138 140 168 170 198 200 216 218 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 46 88 28 28 16 22

SPT(16)	2506470094938687919	0 30 42 72 90 100 118 142 150 174 192 202 220 250 262 292	-769208571892
SPT(16)	2506470185416853401	0 36 78 96 118 148 198 208 240 250 300 330 352 370 412 448	-678730406410
STPT(10)	2506470206718551327	0 2 72 74 102 104 132 134 204 206	-657428708484
SPT(16)	2506470235445901493	0 10 16 48 58 60 108 118 126 136 184 186 196 228 234 244	-628701358318
STPT(10)	2506470249520540487	0 2 30 32 60 62 90 92 120 122	-614626719324
SPT(16)	2506470523263506281	0 6 28 40 58 66 72 96 172 196 202 210 228 240 262 268	-340883753530
SPT(16)	2506470925294371929	0 32 60 98 158 180 188 210 290 312 320 342 402 440 468 500	61147112118
SPT(16)	2506471072208746711	0 12 18 28 112 136 138 172 216 250 252 276 360 370 376 388	208061486900
TPT(14)	2506471493484674369	0 2 12 14 78 80 90 92 258 260 390 392 420 422	629337414558
SPT(16)	2506471824617640773	0 14 78 80 168 204 234 246 248 260 290 326 414 416 480 494	960470380962
STPT(10)	2506472537087134487	0 2 54 56 132 134 210 212 264 266	1672939874676