Prime p₀= 1051288525639597799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 28 2 22 2 16 2 40 2 (?)
a_n: 0 2 72 74 108 110 138 140 162 164 180 182 222 224
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: stoneageman
db: batch=76, k=14, 70 34 28 22 16 40

STPT(10)	1051287709486345151	0 2 6 8 18 20 30 32 36 38	-816153252648
SPT(16)	1051287746140057871	0 18 56 90 96 110 128 176 180 228 246 260 266 300 338 356	-779499539928
SPT(16)	1051287831890993303	0 38 50 66 68 90 98 158 168 228 236 258 260 276 288 326	-693748604496
SPT(16)	1051287872266543981	0 6 10 18 28 88 102 136 192 226 240 300 310 318 322 328	-653373053818
SPT(16)	1051288019457725893	0 30 34 90 100 120 130 174 184 228 238 258 268 324 328 358	-506181871906
STPT(10)	1051288102472021171	0 2 6 8 18 20 30 32 36 38	-423167576628
SPT(16)	1051288642834489879	0 30 54 70 84 102 108 114 178 184 190 208 222 238 262 292	117194892080
STPT(10)	1051288810731956141	0 2 36 38 78 80 120 122 156 158	285092358342
SPT(16)	1051288880467673899	0 22 78 90 142 160 234 252 310 328 402 420 472 484 540 562	354828076100
STPT(10)	1051288908010261967	0 2 54 56 72 74 90 92 144 146	382370664168
SPT(16)	1051289197783397831	0 26 56 98 108 110 122 128 150 156 168 170 180 222 252 278	672143800032