Prime p₀= 1070389364713148537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 58 2 64 2 28 2 112 2 (?)
a_n: 0 2 30 32 54 56 114 116 180 182 210 212 324 326
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: 326
Found by: Skivelitis2
db: batch=76, k=14, 28 22 58 64 28 112

SPT(16)	1070386115309904793	0 46 88 100 114 126 136 196 228 288 298 310 324 336 378 424	-3249403243744
SPT(16)	1070386441332893857	0 12 34 42 72 76 84 90 106 112 120 124 154 162 184 196	-2923380254680
STPT(10)	1070387437887169847	0 2 30 32 42 44 54 56 84 86	-1926825978690
SPT(16)	1070387577470510021	0 20 60 62 72 86 98 108 140 150 162 176 186 188 228 248	-1787242638516
SPT(16)	1070387952788430847	0 16 22 42 60 82 102 106 180 184 204 226 244 264 270 286	-1411924717690
SPT(16)	1070388469062418397	0 2 6 26 62 72 104 126 140 162 194 204 240 260 264 266	-895650730140
SPT(16)	1070389857347964809	0 14 32 50 80 108 144 200 252 308 344 372 402 420 438 452	492634816272
STPT(10)	1070389981171102817	0 2 30 32 42 44 54 56 84 86	616457954280
STPT(10)	1070390133790344977	0 2 30 32 42 44 54 56 84 86	769077196440
SPT(13)	1070390178590579029	0 24 54 60 78 138 144 150 210 228 234 264 288	813877430492
TPT(14)	1070390427479622407	0 2 72 74 90 92 114 116 264 266 300 302 312 314	1062766473870