Prime p₀= 223496308650088937 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 70 2 106 2 46 2 22 2 (?)
a_n: 0 2 12 14 84 86 192 194 240 242 264 266
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: 266
Found by: Alnitak2019
db: batch=69, k=12, 10 70 106 46 22

SPT(16)	223496251717067897	0 2 14 36 44 54 60 72 164 176 182 192 200 222 234 236	-56933021040
SPT(14)	223496254823153479	0 10 30 34 72 94 144 208 258 280 318 322 342 352	-53826935458
SPT(14)	223496258655234827	0 36 56 62 86 120 126 170 176 210 234 240 260 296	-49994854110
TPT(12)	223496266634474609	0 2 42 44 138 140 180 182 198 200 240 242	-42015614328
SPT(14)	223496269489499239	0 10 18 24 30 58 78 94 114 142 148 154 162 172	-39160589698
SPT(14)	223496285791111283	0 30 74 114 140 168 170 264 266 294 320 360 404 434	-22858977654
SPT(14)	223496309172030131	0 18 20 48 56 90 98 108 116 150 158 186 188 206	521941194
TPT(12)	223496322900330341	0 2 30 32 96 98 138 140 168 170 210 212	14250241404
TPT(12)	223496323339284887	0 2 84 86 90 92 150 152 180 182 192 194	14689195950
SPT(14)	223496341572571477	0 16 40 70 76 90 112 174 196 210 216 246 270 286	32922482540
SPT(14)	223496345412804161	0 20 32 48 78 80 98 102 120 122 152 168 180 200	36762715224