Prime p₀= 2112869887272768131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 70 2 10 2 46 2 40 2 (?)
a_n: 0 2 48 50 126 128 198 200 210 212 258 260 300 302
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-2W]Kurzer
db: batch=80, k=14, 46 76 70 10 46 40

STPT(10)	2112868850007643697	0 2 12 14 72 74 132 134 144 146	-1037265124434
SPT(16)	2112868978174429913	0 6 26 54 96 116 126 140 144 158 168 188 230 258 278 284	-909098338218
TPT(14)	2112868985936349827	0 2 30 32 84 86 222 224 264 266 270 272 312 314	-901336418304
SPT(16)	2112869247463321553	0 38 48 90 114 194 204 258 296 350 360 440 464 506 516 554	-639809446578
STPT(10)	2112869497485887339	0 2 42 44 90 92 138 140 180 182	-389786880792
TPT(14)	2112869770022593889	0 2 30 32 102 104 180 182 222 224 228 230 282 284	-117250174242
STPT(10)	2112870015914466617	0 2 12 14 42 44 72 74 84 86	128641698486
STPT(10)	2112870713697854987	0 2 30 32 60 62 90 92 120 122	826425086856
SPT(16)	2112870777709321831	0 48 106 132 168 190 220 246 292 318 348 370 406 432 490 538	890436553700
SPT(16)	2112870969645674131	0 48 66 90 108 126 132 178 210 256 262 280 298 322 340 388	1082372906000
SPT(16)	2112870972852867307	0 6 12 40 90 100 120 202 240 322 342 352 402 430 436 442	1085580099176