Prime p₀= 1540115486956282529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 76 2 16 2 178 2 10 2 (?)
a_n: 0 2 18 20 72 74 150 152 168 170 348 350 360 362
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: 362
Found by: arkiss
db: batch=78, k=14, 16 52 76 16 178 10

SPT(16)	1540113523263131771	0 8 38 42 56 78 92 108 230 246 260 282 296 300 330 338	-1963693150758
STPT(10)	1540113766643685587	0 2 12 14 72 74 132 134 144 146	-1720312596942
STPT(10)	1540114290921434279	0 2 18 20 30 32 42 44 60 62	-1196034848250
TPT(14)	1540114771128652091	0 2 18 20 90 92 126 128 156 158 198 200 270 272	-715827630438
SPT(16)	1540114775673459059	0 2 20 54 84 132 140 144 170 174 182 230 260 294 312 314	-711282823470
SPT(16)	1540114886260161571	0 10 12 40 76 100 162 166 192 196 258 282 318 346 348 358	-600696120958
SPT(16)	1540115791940378893	0 6 18 76 88 106 114 120 154 160 168 186 198 256 268 274	304984096364
TPT(14)	1540115922517046981	0 2 30 32 78 80 96 98 108 110 138 140 150 152	435560764452
STPT(10)	1540116332724661607	0 2 24 26 42 44 60 62 84 86	845768379078
STPT(10)	1540116342715386617	0 2 24 26 42 44 60 62 84 86	855759104088
SPT(16)	1540116495030351223	0 34 66 90 130 150 156 174 196 214 220 240 280 304 336 370	1008074068694