Prime p₀= 201463887904188587 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 28 2 124 2 (?)
a_n: 0 2 12 14 42 44 54 56 84 86 210 212
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: 212
Found by: Megacruncher
db: batch=69, k=12, 10 28 10 28 124

SPT(14)	201463830023385989	0 2 14 24 42 44 50 72 78 80 98 108 120 122	-57880802598
SPT(14)	201463846998268403	0 6 38 98 110 128 138 206 216 234 246 306 338 344	-40905920184
SPT(14)	201463862115466837	0 12 22 34 40 112 172 204 264 336 342 354 364 376	-25788721750
SPT(14)	201463868111290181	0 8 42 66 68 152 176 192 216 300 302 326 360 368	-19792898406
SPT(14)	201463875669738503	0 8 24 104 110 126 150 164 188 204 210 290 306 314	-12234450084
SPT(14)	201463878145733101	0 6 42 48 70 82 90 118 126 138 160 166 202 208	-9758455486
SPT(14)	201463906487192179	0 12 52 64 70 78 90 112 124 132 138 150 190 202	18583003592
SPT(16)	201463911707204977	0 12 46 84 94 102 106 124 132 150 154 162 172 210 244 256	23803016390
SPT(14)	201463930293292153	0 6 16 40 48 64 76 78 90 106 114 138 148 154	42389103566
SPT(14)	201463934736757769	0 32 42 72 74 90 104 168 182 198 200 230 240 272	46832569182
SPT(14)	201463941090105299	0 20 30 62 74 78 92 210 224 228 240 272 282 302	53185916712