Prime p₀= 775560044625851579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 10 2 46 2 28 2 10 2 (?)
a_n: 0 2 78 80 120 122 132 134 180 182 210 212 222 224
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: 224
Found by: [SG]FX
db: batch=73, k=14, 76 40 10 46 28 10

SPT(16)	775559358295317559	0 10 28 42 52 88 120 130 150 160 192 228 238 252 270 280	-686330534020
SPT(16)	775559456462891651	0 12 36 42 50 56 66 68 90 92 102 108 116 122 146 158	-588162959928
STPT(10)	775559659849409189	0 2 18 20 30 32 42 44 60 62	-384776442390
STPT(10)	775559684232111521	0 2 30 32 138 140 246 248 276 278	-360393740058
SPT(16)	775559800547971921	0 10 58 60 72 88 102 118 150 166 180 196 208 210 258 268	-244077879658
STPT(10)	775559983093992821	0 2 6 8 48 50 90 92 96 98	-61531858758
STPT(10)	775560377362103939	0 2 12 14 90 92 168 170 180 182	332736252360
SPT(16)	775560760448389969	0 18 54 70 88 130 144 154 228 238 252 294 312 328 364 382	715822538390
SPT(16)	775560836219148821	0 2 30 98 132 162 168 182 246 260 266 296 330 398 426 428	791593297242
SPT(16)	775560894665084659	0 88 102 124 154 178 190 192 250 252 264 288 318 340 354 442	850039233080
STPT(10)	775560906276870797	0 2 30 32 72 74 114 116 144 146	861651019218