Prime p₀= 1274133169542040229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 28 2 52 2 34 2 28 2 (?)
a_n: 0 2 30 32 48 50 78 80 132 134 168 170 198 200
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: 200
Found by: stoneageman
db: batch=77, k=14, 28 16 28 52 34 28

TPT(14)	1274132641891280921	0 2 66 68 96 98 138 140 156 158 168 170 180 182	-527650759308
SPT(16)	1274132779223355631	0 48 60 88 90 118 126 132 166 172 180 208 210 238 250 298	-390318684598
STPT(10)	1274132839316273927	0 2 12 14 42 44 72 74 84 86	-330225766302
STPT(10)	1274132914855464029	0 2 42 44 60 62 78 80 120 122	-254686576200
TPT(14)	1274132967838229801	0 2 30 32 78 80 96 98 108 110 120 122 126 128	-201703810428
STPT(10)	1274132989175890931	0 2 6 8 48 50 90 92 96 98	-180366149298
STPT(10)	1274133563119912457	0 2 30 32 42 44 54 56 84 86	393577872228
SPT(16)	1274134139160730577	0 2 6 14 32 44 60 86 90 116 132 144 162 170 174 176	969618690348
SPT(16)	1274134152799358089	0 12 22 72 88 108 114 142 150 178 184 204 220 270 280 292	983257317860
STPT(10)	1274134161022504709	0 2 12 14 90 92 168 170 180 182	991480464480
SPT(16)	1274134205605617107	0 30 42 56 66 86 140 152 180 192 246 266 276 290 302 332	1036063576878