Prime p₀= 1025389949264511071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 28 2 70 2 10 2 148 2 (?)
a_n: 0 2 36 38 66 68 96 98 168 170 180 182 330 332
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: 332
Found by: stoneageman
db: batch=76, k=14, 34 28 28 70 10 148

SPT(18)	1025389319221350887	0 12 56 74 84 96 126 150 182 234 266 290 320 332 342 360 404 416	-630043160184
STPT(10)	1025389337851648541	0 2 30 32 78 80 126 128 156 158	-611412862530
SPT(16)	1025389426095396553	0 16 34 60 66 70 88 90 154 156 174 178 184 210 228 244	-523169114518
SPT(16)	1025389494540923117	0 2 6 14 60 62 132 156 170 194 264 266 312 320 324 326	-454723587954
SPT(16)	1025389647735897889	0 12 18 22 54 78 84 90 112 118 124 148 180 184 190 202	-301528613182
STPT(10)	1025389949262295157	0 2 90 92 102 104 114 116 204 206	-2215914
STPT(10)	1025390023561473527	0 2 24 26 42 44 60 62 84 86	74296962456
SPT(16)	1025390204139824321	0 8 30 50 68 86 120 138 200 218 252 270 288 308 330 338	254875313250
TPT(14)	1025390272261844327	0 2 12 14 60 62 102 104 150 152 192 194 210 212	322997333256
SPT(16)	1025391715765455803	0 20 48 108 120 128 140 150 224 234 246 254 266 326 354 374	1766500944732
SPT(16)	1025391849241200491	0 8 18 32 36 78 92 128 150 186 200 242 246 260 270 278	1899976689420