Prime p₀= 2016729528473830127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 64 2 70 2 10 2 (?)
a_n: 0 2 24 26 42 44 84 86 150 152 222 224 234 236
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: 236
Found by: Landjunge
db: batch=80, k=14, 22 16 40 64 70 10

TPT(14)	2016727665388312871	0 2 36 38 150 152 198 200 306 308 360 362 366 368	-1863085517256
SPT(16)	2016727696547152231	0 10 12 48 60 70 102 132 178 208 240 250 262 298 300 310	-1831926677896
SPT(16)	2016727733343612017	0 26 32 54 72 80 84 92 144 152 156 164 182 204 210 236	-1795130218110
STPT(10)	2016728186714280887	0 2 12 14 42 44 72 74 84 86	-1341759549240
SPT(16)	2016728615555284879	0 40 108 118 124 150 154 174 184 204 208 234 240 250 318 358	-912918545248
SPT(16)	2016728620444531157	0 24 26 54 66 72 80 86 120 126 134 140 152 180 182 206	-908029298970
SPT(16)	2016729627196714643	0 24 26 38 68 110 134 146 168 180 204 246 276 288 290 314	98722884516
SPT(16)	2016729696939197311	0 10 16 42 66 102 108 130 168 190 196 232 256 282 288 298	168465367184
TPT(14)	2016729716094071981	0 2 6 8 30 32 120 122 156 158 210 212 300 302	187620241854
STPT(10)	2016730082606578607	0 2 72 74 102 104 132 134 204 206	554132748480
TPT(14)	2016730184942262287	0 2 24 26 114 116 210 212 234 236 240 242 252 254	656468432160