Prime p₀= 66401136576911159 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 40 2 64 2 88 2 10 2 (?)
a_n: 0 2 60 62 102 104 168 170 258 260 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=67, k=12, 58 40 64 88 10

SPT(14)	66401071560092849	0 12 24 30 32 54 68 114 128 150 152 158 170 182	-65016818310
SPT(14)	66401082714267991	0 18 28 40 60 72 78 232 238 250 270 282 292 310	-53862643168
SPT(14)	66401111295244459	0 18 34 48 60 90 174 178 262 292 304 318 334 352	-25281666700
SPT(14)	66401124310701329	0 24 74 90 102 134 164 210 240 272 284 300 350 374	-12266209830
SPT(14)	66401131618547527	0 36 42 72 90 106 132 154 180 196 214 244 250 286	-4958363632
SPT(14)	66401134415584313	0 36 80 90 116 126 144 146 164 174 200 210 254 290	-2161326846
SPT(14)	66401156030629187	0 6 26 54 74 92 110 126 144 162 182 210 230 236	19453718028
TPT(12)	66401176550487419	0 2 18 20 132 134 180 182 198 200 240 242	39973576260
SPT(14)	66401178069510787	0 6 10 42 46 76 142 144 210 240 244 276 280 286	41492599628
STPT(10)	66401189578451051	0 2 36 38 78 80 120 122 156 158	53001539892
SPT(14)	66401223837125699	0 8 12 18 32 42 60 92 110 120 134 140 144 152	87260214540