Prime p₀= 1273436869043532119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 70 2 28 2 10 2 28 2 (?)
a_n: 0 2 78 80 108 110 180 182 210 212 222 224 252 254
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: 254
Found by: mikey
db: batch=77, k=14, 76 28 70 28 10 28

SPT(16)	1273436513851010167	0 10 52 72 96 142 150 162 184 196 204 250 274 294 336 346	-355192521952
SPT(16)	1273436590580649013	0 16 60 70 106 120 148 186 280 318 346 360 396 406 450 466	-278462883106
SPT(16)	1273436594824854107	0 14 20 50 60 72 84 86 90 92 104 116 126 156 162 176	-274218678012
SPT(16)	1273436658801542891	0 8 42 60 66 90 138 152 216 230 278 302 308 326 360 368	-210241989228
SPT(16)	1273436760601774063	0 36 40 78 124 130 136 154 180 198 204 210 256 294 298 334	-108441758056
STPT(10)	1273436797475760887	0 2 30 32 72 74 114 116 144 146	-71567771232
STPT(10)	1273437094307004167	0 2 90 92 102 104 114 116 204 206	225263472048
STPT(10)	1273437098310437309	0 2 18 20 30 32 42 44 60 62	229266905190
STPT(10)	1273437469471290857	0 2 30 32 42 44 54 56 84 86	600427758738
STPT(10)	1273437534113782949	0 2 18 20 30 32 42 44 60 62	665070250830
SPT(16)	1273437579120731879	0 2 32 50 114 158 170 204 218 252 264 308 372 390 420 422	710077199760