Prime p₀= 561758901907803161 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 196 2 58 2 28 2 10 2 34 2 (?)
a_n: 0 2 198 200 258 260 288 290 300 302 336 338
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 338
Found by: Rantanplan
db: batch=71, k=12, 196 58 28 10 34

SPT(14)	561758831074130069	0 48 50 84 98 120 158 174 212 234 248 282 284 332	-70833673092
SPT(14)	561758831568061861	0 16 48 66 88 96 108 118 130 138 160 178 210 226	-70339741300
SPT(14)	561758837686656941	0 2 36 56 90 122 168 170 216 248 282 302 336 338	-64221146220
TPT(12)	561758847821534969	0 2 72 74 102 104 138 140 180 182 348 350	-54086268192
SPT(14)	561758879263559179	0 4 10 42 54 70 82 102 114 130 142 174 180 184	-22644243982
SPT(14)	561758884917356279	0 2 48 72 84 104 152 270 318 338 350 374 420 422	-16990446882
TPT(12)	561758920364891111	0 2 18 20 120 122 156 158 186 188 258 260	18457087950
SPT(14)	561758951385369571	0 16 40 52 66 130 150 172 192 256 270 282 306 322	49477566410
TPT(12)	561758965312718207	0 2 24 26 84 86 102 104 144 146 150 152	63404915046
TPT(12)	561758972588908691	0 2 18 20 48 50 78 80 210 212 216 218	70681105530
SPT(14)	561758976109657621	0 36 66 72 78 102 148 150 196 220 226 232 262 298	74201854460