Prime p₀= 1035036089237172299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 64 2 130 2 10 2 64 2 (?)
a_n: 0 2 12 14 102 104 168 170 300 302 312 314 378 380
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: 380
Found by: stoneageman
db: batch=76, k=14, 10 88 64 130 10 64

SPT(16)	1035035178154526749	0 4 30 58 88 100 114 184 228 298 312 324 354 382 408 412	-911082645550
TPT(14)	1035035265838636397	0 2 150 152 192 194 210 212 240 242 252 254 264 266	-823398535902
SPT(16)	1035035581108001999	0 32 42 50 78 120 140 158 264 282 302 344 372 380 390 422	-508129170300
SPT(16)	1035035652809594599	0 10 28 34 70 78 108 120 142 154 184 192 228 234 252 262	-436427577700
SPT(16)	1035035718393065243	0 26 54 56 74 116 144 150 254 260 288 330 348 350 378 404	-370844107056
SPT(16)	1035035932240964089	0 10 24 34 64 88 90 102 160 172 174 198 228 238 252 262	-156996208210
STPT(10)	1035036333716142209	0 2 48 50 90 92 132 134 180 182	244478969910
TPT(14)	1035036546698306627	0 2 12 14 54 56 72 74 144 146 180 182 252 254	457461134328
SPT(13)	1035036839771296903	0 48 60 66 90 150 168 186 246 270 276 288 336	750534124604
STPT(10)	1035036986910772577	0 2 30 32 42 44 54 56 84 86	897673600278
STPT(10)	1035037074458343137	0 2 30 32 42 44 54 56 84 86	985221170838