Prime p₀= 1571171721958390157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 70 2 34 2 28 2 70 2 16 2 (?)
a_n: 0 2 72 74 144 146 180 182 210 212 282 284 300 302
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: 302
Found by: Theadalus
db: batch=78, k=14, 70 70 34 28 70 16

TPT(14)	1571169867715762757	0 2 42 44 84 86 102 104 120 122 132 134 144 146	-1854242627400
SPT(16)	1571169922692462353	0 20 30 56 84 140 150 156 158 164 174 230 258 284 294 314	-1799265927804
STPT(14)	1571170672746397199	0 2 72 74 78 80 120 122 162 164 168 170 240 242	-1049211992958
TPT(14)	1571170672746397199	0 2 72 74 78 80 120 122 162 164 168 170 240 242	-1049211992958
STPT(10)	1571171229709073957	0 2 30 32 42 44 54 56 84 86	-492249316200
SPT(16)	1571171334957553333	0 34 46 54 58 90 96 120 124 148 154 186 190 198 210 244	-387000836824
STPT(10)	1571172211973668061	0 2 6 8 18 20 30 32 36 38	490015277904
SPT(16)	1571172389980223311	0 28 30 66 108 136 138 156 250 268 270 298 340 376 378 406	668021833154
SPT(16)	1571172961358894711	0 2 6 60 80 110 146 156 182 192 228 258 278 332 336 338	1239400504554
SPT(16)	1571173419444188597	0 6 32 66 74 120 170 192 224 246 296 342 350 384 410 416	1697485798440
SPT(16)	1571173484258100967	0 10 24 34 40 82 100 102 124 126 144 186 192 202 216 226	1762299710810