Prime p₀= 201461588202901259 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 16 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 48 50 60 62 78 80 102 104
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: 104
Found by: Ralfy
db: batch=69, k=12, 28 16 10 16 22

SPT(14)	201461511531912449	0 2 32 60 74 98 114 158 174 198 212 240 270 272	-76670988810
SPT(16)	201461547299296057	0 30 42 54 64 72 76 82 114 120 124 132 142 154 166 196	-40903605202
SPT(14)	201461550654778069	0 22 24 90 118 148 160 162 174 204 232 298 300 322	-37548123190
SPT(14)	201461569810040983	0 34 84 106 108 120 174 190 244 256 258 280 330 364	-18392860276
SPT(14)	201461575255462409	0 18 20 32 60 122 170 270 318 380 408 420 422 440	-12947438850
SPT(14)	201461580999939857	0 36 42 60 72 90 116 186 212 230 242 260 266 302	-7202961402
SPT(14)	201461612945282383	0 16 18 28 36 40 78 106 144 148 156 166 168 184	24742381124
SPT(14)	201461623365802517	0 12 14 26 116 144 156 170 182 210 300 312 314 326	35162901258
SPT(14)	201461650379560397	0 56 66 84 114 140 150 170 180 206 236 254 264 320	62176659138
TPT(12)	201461686403260289	0 2 30 32 138 140 180 182 222 224 282 284	98200359030
SPT(14)	201461693482704077	0 12 66 86 92 114 150 236 272 294 300 320 374 386	105279802818