Prime p₀= 1230574124135393291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 106 2 10 2 28 2 10 2 (?)
a_n: 0 2 36 38 48 50 156 158 168 170 198 200 210 212
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: 212
Found by: vinn@[CNT]
db: batch=77, k=14, 34 10 106 10 28 10

SPT(16)	1230572601722962601	0 20 50 102 108 126 132 146 162 176 182 200 206 258 288 308	-1522412430690
STPT(10)	1230572651626258859	0 2 78 80 120 122 162 164 240 242	-1472509134432
STPT(10)	1230573031157326457	0 2 30 32 42 44 54 56 84 86	-1092978066834
SPT(16)	1230573332707879957	0 10 30 82 112 154 156 184 222 250 252 294 324 376 396 406	-791427513334
SPT(16)	1230573675608605871	0 20 72 96 98 132 138 140 168 170 176 210 212 236 288 308	-448526787420
STPT(10)	1230573970800392129	0 2 18 20 30 32 42 44 60 62	-153335001162
SPT(13)	1230574482803263853	0 6 36 66 84 90 150 210 216 234 264 294 300	358667870562
STPT(10)	1230574760079313457	0 2 30 32 42 44 54 56 84 86	635943920166
SPT(16)	1230574896866999039	0 42 48 54 68 80 108 158 174 224 252 264 278 284 290 332	772731605748
STPT(10)	1230574997216121017	0 2 24 26 42 44 60 62 84 86	873080727726
SPT(16)	1230575380860652913	0 6 14 36 66 78 104 108 116 120 146 158 188 210 218 224	1256725259622