Prime p₀= 868109935893178961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 70 2 88 2 4 2 10 2 (?)
a_n: 0 2 90 92 138 140 210 212 300 302 306 308 318 320
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: 320
Found by: jozef j
db: batch=73, k=14, 88 46 70 88 4 10

SPT(16)	868109535790927883	0 14 36 56 60 96 116 126 134 144 164 200 204 224 246 260	-400102251078
SPT(16)	868109552453917177	0 22 24 94 112 120 132 154 210 232 244 252 270 340 342 364	-383439261784
SPT(13)	868109654582541919	0 42 114 132 144 150 192 234 240 252 270 342 384	-281310637042
STPT(10)	868109669619341291	0 2 6 8 18 20 30 32 36 38	-266273837670
STPT(10)	868109698992748109	0 2 18 20 30 32 42 44 60 62	-236900430852
SPT(16)	868109789894708191	0 28 102 138 150 168 180 186 202 208 220 238 250 286 360 388	-145998470770
SPT(16)	868110072142154371	0 40 48 52 90 102 118 150 238 270 286 298 336 340 348 388	136248975410
SPT(16)	868110081240673811	0 8 18 50 56 78 80 122 156 198 200 222 228 260 270 278	145347494850
SPT(16)	868110136328688163	0 16 66 106 130 150 190 228 238 276 316 336 360 400 450 466	200435509202
SPT(16)	868110145657112507	0 66 84 132 186 204 240 252 374 386 422 440 494 542 560 626	209763933546
STPT(10)	868110422232329369	0 2 42 44 60 62 78 80 120 122	486339150408