Prime p₀= 2253340140816878147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 40 2 4 2 28 2 82 2 (?)
a_n: 0 2 60 62 102 104 144 146 150 152 180 182 264 266
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: 266
Found by: JayPi
db: batch=81, k=14, 58 40 40 4 28 82

TPT(14)	2253339256339791047	0 2 24 26 30 32 42 44 84 86 150 152 204 206	-884477087100
SPT(16)	2253339511762592963	0 8 30 86 98 108 114 120 134 140 146 156 168 224 246 254	-629054285184
SPT(16)	2253339653081290673	0 18 54 78 104 146 176 180 224 228 258 300 326 350 386 404	-487735587474
STPT(10)	2253339806267871437	0 2 84 86 132 134 180 182 264 266	-334549006710
SPT(16)	2253339854376119449	0 10 48 58 108 114 118 142 150 174 178 184 234 244 282 292	-286440758698
STPT(10)	2253340003546606031	0 2 36 38 78 80 120 122 156 158	-137270272116
STPT(10)	2253340479664742519	0 2 42 44 60 62 78 80 120 122	338847864372
SPT(16)	2253340601395543697	0 14 20 24 42 60 86 90 116 120 146 164 182 186 192 206	460578665550
STPT(10)	2253340646051631749	0 2 18 20 30 32 42 44 60 62	505234753602
SPT(16)	2253340951991410429	0 4 22 30 124 130 142 144 208 210 222 228 322 330 348 352	811174532282
SPT(16)	2253340959220785583	0 4 30 48 58 70 78 118 186 226 234 246 256 274 300 304	818403907436