Prime p₀= 1070382214496576549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 10 2 4 2 22 2 136 2 16 2 (?)
a_n: 0 2 150 152 162 164 168 170 192 194 330 332 348 350
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: 350
Found by: Skivelitis2
db: batch=76, k=14, 148 10 4 22 136 16

SPT(16)	1070380005862082527	0 36 72 82 94 112 120 150 166 196 204 222 234 244 280 316	-2208634494022
STPT(10)	1070380034358357587	0 2 42 44 72 74 102 104 144 146	-2180138218962
SPT(16)	1070380198210799981	0 8 38 50 72 92 110 126 152 168 186 206 228 240 270 278	-2016285776568
SPT(16)	1070380549729737193	0 30 36 126 136 138 148 168 178 198 208 210 220 310 316 346	-1664766839356
STPT(10)	1070381361454035539	0 2 18 20 30 32 42 44 60 62	-853042541010
SPT(16)	1070382146129753539	0 12 24 42 78 82 102 112 120 130 150 154 190 208 220 232	-68366823010
SPT(16)	1070382223547984323	0 18 36 54 70 88 148 160 294 306 366 384 400 418 436 454	9051407774
SPT(16)	1070382303886528313	0 30 44 50 108 114 126 168 206 248 260 266 324 330 344 374	89389951764
STPT(10)	1070382590481140939	0 2 30 32 60 62 90 92 120 122	375984564390
SPT(16)	1070382817516780597	0 22 42 64 84 112 144 202 252 310 342 370 390 412 432 454	603020204048
SPT(16)	1070383376624974309	0 34 52 60 130 132 150 160 162 172 190 192 262 270 288 322	1162128397760