Prime p₀= 578529416112467159 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 28 2 76 2 52 2 (?)
a_n: 0 2 18 20 60 62 90 92 168 170 222 224
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: 224
Found by: marsinph
db: batch=71, k=12, 16 40 28 76 52

SPT(14)	578529350483183201	0 12 48 62 72 156 198 200 242 326 336 350 386 398	-65629283958
SPT(14)	578529387228142993	0 4 34 90 108 184 196 198 210 286 304 360 390 394	-28884324166
SPT(14)	578529406360005337	0 4 24 40 66 70 90 130 150 154 180 196 216 220	-9752461822
SPT(14)	578529409413308083	0 58 76 84 118 124 150 184 210 216 250 258 276 334	-6699159076
SPT(14)	578529409507618379	0 62 72 84 114 128 132 140 144 158 188 200 210 272	-6604848780
SPT(14)	578529412447601029	0 4 42 70 84 114 130 132 148 178 192 220 258 262	-3664866130
SPT(14)	578529441036213851	0 18 30 32 48 78 86 162 170 200 216 218 230 248	24923746692
SPT(14)	578529442736963759	0 30 32 38 42 48 72 158 182 188 192 198 200 230	26624496600
SPT(14)	578529447860670001	0 16 36 70 72 82 100 138 156 166 168 202 222 238	31748202842
SPT(14)	578529449734894379	0 12 30 74 102 140 152 210 222 260 288 332 350 362	33622427220
SPT(14)	578529459031192759	0 28 48 54 58 60 70 72 82 84 88 94 114 142	42918725600