Prime p₀= 1051289513702556017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 76 2 28 2 100 2 46 2 (?)
a_n: 0 2 42 44 114 116 192 194 222 224 324 326 372 374
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: 374
Found by: stoneageman
db: batch=76, k=14, 40 70 76 28 100 46

TPT(14)	1051288525639597799	0 2 72 74 108 110 138 140 162 164 180 182 222 224	-988062958218
SPT(16)	1051288642834489879	0 30 54 70 84 102 108 114 178 184 190 208 222 238 262 292	-870868066138
STPT(10)	1051288810731956141	0 2 36 38 78 80 120 122 156 158	-702970599876
SPT(16)	1051288880467673899	0 22 78 90 142 160 234 252 310 328 402 420 472 484 540 562	-633234882118
STPT(10)	1051288908010261967	0 2 54 56 72 74 90 92 144 146	-605692294050
SPT(16)	1051289197783397831	0 26 56 98 108 110 122 128 150 156 168 170 180 222 252 278	-315919158186
SPT(16)	1051289617960735267	0 6 30 36 112 126 132 142 204 214 220 234 310 316 340 346	104258179250
SPT(16)	1051289677954947779	0 8 20 54 90 98 102 104 138 140 144 152 188 222 234 242	164252391762
STPT(10)	1051289929141181801	0 2 36 38 78 80 120 122 156 158	415438625784
STPT(10)	1051290054552858059	0 2 18 20 30 32 42 44 60 62	540850302042
STPT(10)	1051290176083911779	0 2 42 44 120 122 198 200 240 242	662381355762