Prime p₀= 1025559750912227537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 58 2 214 2 82 2 4 2 40 2 (?)
a_n: 0 2 84 86 144 146 360 362 444 446 450 452 492 494
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: 494
Found by: HenkM
db: batch=76, k=14, 82 58 214 82 4 40

SPT(16)	1025558372770749329	0 2 74 78 80 150 152 168 194 210 212 282 284 288 360 362	-1378141478208
SPT(16)	1025558501241363491	0 2 6 8 62 72 80 108 110 138 146 156 210 212 216 218	-1249670864046
STPT(10)	1025558598536429999	0 2 18 20 30 32 42 44 60 62	-1152375797538
SPT(16)	1025558725484688931	0 16 30 40 48 70 112 126 172 186 228 250 258 268 282 298	-1025427538606
STPT(10)	1025558961687570377	0 2 60 62 72 74 84 86 144 146	-789224657160
STPT(10)	1025559344500515989	0 2 48 50 90 92 132 134 180 182	-406411711548
STPT(10)	1025559775047342551	0 2 30 32 78 80 126 128 156 158	24135115014
SPT(16)	1025559894220889143	0 6 18 46 64 78 114 120 124 130 166 180 198 226 238 244	143308661606
SPT(16)	1025560238438952929	0 20 48 72 128 144 164 174 248 258 278 294 350 374 402 422	487526725392
STPT(10)	1025560582815149201	0 2 6 8 18 20 30 32 36 38	831902921664
STPT(10)	1025561477720272037	0 2 30 32 42 44 54 56 84 86	1726808044500