Prime p₀= 865899047463675131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 4 2 28 2 82 2 28 2 (?)
a_n: 0 2 60 62 90 92 96 98 126 128 210 212 240 242
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: RFGuy_KCCO
db: batch=73, k=14, 58 28 4 28 82 28

SPT(16)	865897946927623061	0 12 30 50 72 116 138 188 210 260 282 326 348 368 386 398	-1100536052070
STPT(10)	865897961090075729	0 2 12 14 30 32 48 50 60 62	-1086373599402
SPT(16)	865898065720431283	0 4 28 64 108 150 180 204 280 304 334 376 420 456 480 484	-981743243848
STPT(10)	865898174121919847	0 2 30 32 42 44 54 56 84 86	-873341755284
SPT(16)	865898415301543669	0 22 40 52 58 70 94 114 148 168 192 204 210 222 240 262	-632162131462
SPT(16)	865898804830226161	0 12 82 120 142 148 150 178 252 280 282 288 310 348 418 430	-242633448970
SPT(16)	865899309787099529	0 8 14 30 32 78 198 222 260 284 404 450 452 468 474 482	262323424398
SPT(16)	865899399847468387	0 10 46 66 84 90 112 130 156 174 196 202 220 240 276 286	352383793256
SPT(16)	865899550466984221	0 16 28 42 52 60 90 118 210 238 268 276 286 300 312 328	503003309090
STPT(10)	865899724371730577	0 2 12 14 42 44 72 74 84 86	676908055446
SPT(16)	865899942990215711	0 32 48 90 102 138 146 180 218 252 260 296 308 350 366 398	895526540580