Prime p₀= 561758965312718207 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 58 2 16 2 40 2 4 2 (?)
a_n: 0 2 24 26 84 86 102 104 144 146 150 152
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: 152
Found by: Rantanplan
db: batch=71, k=12, 22 58 16 40 4

TPT(12)	561758847821534969	0 2 72 74 102 104 138 140 180 182 348 350	-117491183238
SPT(14)	561758879263559179	0 4 10 42 54 70 82 102 114 130 142 174 180 184	-86049159028
SPT(14)	561758884917356279	0 2 48 72 84 104 152 270 318 338 350 374 420 422	-80395361928
TPT(12)	561758901907803161	0 2 198 200 258 260 288 290 300 302 336 338	-63404915046
TPT(12)	561758920364891111	0 2 18 20 120 122 156 158 186 188 258 260	-44947827096
SPT(14)	561758951385369571	0 16 40 52 66 130 150 172 192 256 270 282 306 322	-13927348636
TPT(12)	561758972588908691	0 2 18 20 48 50 78 80 210 212 216 218	7276190484
SPT(14)	561758976109657621	0 36 66 72 78 102 148 150 196 220 226 232 262 298	10796939414
SPT(14)	561758976341439367	0 12 30 106 126 142 232 324 414 430 450 526 544 556	11028721160
SPT(14)	561758989425758009	0 8 12 32 68 78 90 140 152 162 198 218 222 230	24113039802
TPT(12)	561758991714230207	0 2 30 32 42 44 84 86 102 104 120 122	26401512000