Prime p₀= 1540114771128652091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 34 2 28 2 40 2 70 2 (?)
a_n: 0 2 18 20 90 92 126 128 156 158 198 200 270 272
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: 272
Found by: arkiss
db: batch=78, k=14, 16 70 34 28 40 70

SPT(16)	1540112856292506217	0 36 42 52 60 106 112 130 186 204 210 256 264 274 280 316	-1914836145874
SPT(16)	1540112992588866347	0 2 26 60 120 122 134 212 234 312 324 326 386 420 444 446	-1778539785744
STPT(10)	1540113511703497901	0 2 30 32 78 80 126 128 156 158	-1259425154190
SPT(16)	1540113523263131771	0 8 38 42 56 78 92 108 230 246 260 282 296 300 330 338	-1247865520320
STPT(10)	1540113766643685587	0 2 12 14 72 74 132 134 144 146	-1004484966504
STPT(10)	1540114290921434279	0 2 18 20 30 32 42 44 60 62	-480207217812
SPT(16)	1540114775673459059	0 2 20 54 84 132 140 144 170 174 182 230 260 294 312 314	4544806968
SPT(16)	1540114886260161571	0 10 12 40 76 100 162 166 192 196 258 282 318 346 348 358	115131509480
TPT(14)	1540115486956282529	0 2 18 20 72 74 150 152 168 170 348 350 360 362	715827630438
SPT(16)	1540115791940378893	0 6 18 76 88 106 114 120 154 160 168 186 198 256 268 274	1020811726802
TPT(14)	1540115922517046981	0 2 30 32 78 80 96 98 108 110 138 140 150 152	1151388394890