Prime p₀= 854365100711187911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 10 2 28 2 40 2 58 2 (?)
a_n: 0 2 60 62 96 98 108 110 138 140 180 182 240 242
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 34 10 28 40 58

SPT(16)	854364032917964027	0 2 30 42 62 86 116 162 194 240 270 294 314 326 354 356	-1067793223884
STPT(10)	854364621951395507	0 2 30 32 42 44 54 56 84 86	-478759792404
SPT(16)	854364814978813241	0 12 48 78 90 102 158 162 206 210 266 278 290 320 356 368	-285732374670
SPT(16)	854364847095807347	0 60 126 152 156 180 192 210 212 230 242 266 270 296 362 422	-253615380564
STPT(12)	854364861262427699	0 2 42 44 60 62 72 74 90 92 132 134	-239448760212
SPT(16)	854365004935032649	0 64 78 88 130 154 174 190 198 214 234 258 300 310 324 388	-95776155262
SPT(16)	854365217684829659	0 8 14 30 44 72 84 162 260 338 350 378 392 408 414 422	116973641748
SPT(16)	854365322214257999	0 12 138 150 168 222 252 294 318 360 390 444 462 474 600 612	221503070088
SPT(16)	854365452151095439	0 18 34 64 70 88 100 112 150 162 174 192 198 228 244 262	351439907528
STPT(12)	854365521271625189	0 2 12 14 30 32 162 164 180 182 192 194	420560437278
SPT(16)	854365795348835177	0 20 84 132 134 140 146 162 254 270 276 282 284 332 396 416	694637647266