Prime p₀= 850350624249996761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 82 2 58 2 46 2 28 2 10 2 (?)
a_n: 0 2 66 68 150 152 210 212 258 260 288 290 300 302
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: 302
Found by: GLeeM
db: batch=73, k=14, 64 82 58 46 28 10

STPT(10)	850350213038820551	0 2 30 32 78 80 126 128 156 158	-411211176210
SPT(16)	850350303669262961	0 12 80 110 162 182 188 210 230 252 258 278 330 360 428 440	-320580733800
SPT(16)	850350312253020191	0 12 32 60 98 132 138 158 162 182 188 222 260 288 308 320	-311996976570
STPT(10)	850350321047729321	0 2 150 152 180 182 210 212 360 362	-303202267440
SPT(16)	850350328060927787	0 30 44 80 90 122 126 156 200 230 234 266 276 312 326 356	-296189068974
STPT(10)	850350391378643171	0 2 30 32 78 80 126 128 156 158	-232871353590
STPT(10)	850350738615132101	0 2 6 8 48 50 90 92 96 98	114365135340
STPT(10)	850350749340627719	0 2 18 20 30 32 42 44 60 62	125090630958
SPT(16)	850350819612844009	0 40 52 64 120 124 168 172 210 214 258 262 318 330 342 382	195362847248
STPT(10)	850351322099976857	0 2 30 32 42 44 54 56 84 86	697849980096
TPT(14)	850351400451578237	0 2 114 116 132 134 252 254 312 314 342 344 354 356	776201581476