Prime p₀= 144304466474576501 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 136 2 40 2 4 2 10 2 (?)
a_n: 0 2 30 32 168 170 210 212 216 218 228 230
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: 230
Found by: emoga
db: batch=67, k=12, 28 136 40 4 10

SPT(14)	144304413967234291	0 30 36 42 78 112 130 138 156 190 226 232 238 268	-52507342210
SPT(14)	144304423795713031	0 6 36 70 100 102 112 120 130 132 162 196 226 232	-42678863470
TPT(12)	144304430095332581	0 2 138 140 198 200 216 218 228 230 270 272	-36379243920
SPT(14)	144304431173933497	0 10 42 46 52 60 82 90 112 120 126 130 162 172	-35300643004
SPT(14)	144304448266614007	0 40 54 102 124 142 154 180 192 210 232 280 294 334	-18207962494
SPT(14)	144304455370051309	0 54 60 82 84 114 154 198 238 268 270 292 298 352	-11104525192
TPT(12)	144304479012017327	0 2 42 44 54 56 174 176 300 302 330 332	12537440826
SPT(14)	144304485686018017	0 10 22 34 52 70 72 112 114 132 150 162 174 184	19211441516
TPT(12)	144304499785510697	0 2 162 164 180 182 360 362 372 374 384 386	33310934196
SPT(14)	144304542705569107	0 4 16 36 72 82 96 130 144 154 190 210 222 226	76230992606
SPT(14)	144304560489573373	0 40 54 66 70 84 106 198 220 234 238 250 264 304	94014996872