Prime p₀= 2357519692587360227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 84 86 132 134 174 176 180 182 222 224 234 236
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: 236
Found by: Donn Pike (USAF Ret)
db: batch=81, k=14, 82 46 40 4 40 10

SPT(13)	2357518179053319187	0 6 12 42 72 90 126 162 180 210 240 246 252	-1513534041040
SPT(16)	2357518549899393289	0 24 112 148 168 190 198 220 222 244 252 274 294 330 418 442	-1142687966938
SPT(16)	2357518644026320031	0 32 56 78 90 126 140 182 186 228 242 278 290 312 336 368	-1048561040196
STPT(10)	2357518897643811659	0 2 18 20 30 32 42 44 60 62	-794943548568
SPT(16)	2357519354450676509	0 20 32 44 92 104 144 158 174 188 228 240 288 300 312 332	-338136683718
SPT(16)	2357519614635840983	0 6 26 56 66 80 96 116 138 158 174 188 198 228 248 254	-77951519244
STPT(10)	2357520125431271789	0 2 18 20 30 32 42 44 60 62	432843911562
SPT(16)	2357520263510402267	0 54 56 110 114 134 146 156 200 210 222 242 246 300 302 356	570923042040
SPT(16)	2357520377096565929	0 14 20 80 132 150 210 224 498 512 572 590 642 702 708 722	684509205702
TPT(14)	2357520393482394977	0 2 12 14 90 92 180 182 270 272 312 314 324 326	700895034750
STPT(10)	2357520925266816887	0 2 30 32 42 44 54 56 84 86	1232679456660