Prime p₀= 224237442458978369 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 70 2 130 2 (?)
a_n: 0 2 12 14 42 44 78 80 150 152 282 284
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: 284
Found by: Ralfy
db: batch=69, k=12, 10 28 34 70 130

SPT(14)	224237325819908129	0 2 42 50 78 84 92 150 158 164 192 200 240 242	-116639070240
SPT(14)	224237372231839619	0 24 42 44 60 72 108 164 200 212 228 230 248 272	-70227138750
TPT(12)	224237373502221059	0 2 78 80 138 140 162 164 180 182 198 200	-68956757310
TPT(12)	224237381681382449	0 2 30 32 42 44 78 80 90 92 132 134	-60777595920
SPT(14)	224237413245565847	0 14 84 86 114 122 140 186 204 212 240 242 312 326	-29213412522
SPT(14)	224237426393907793	0 18 28 40 60 94 130 138 174 208 228 240 250 268	-16065070576
TPT(14)	224237457206282519	0 2 30 32 102 104 150 152 192 194 282 284 348 350	14747304150
SPT(14)	224237463276719429	0 8 14 18 50 54 78 80 104 108 140 144 150 158	20817741060
SPT(14)	224237463764047417	0 4 12 24 40 46 52 54 60 66 82 94 102 106	21305069048
SPT(14)	224237512793415559	0 22 54 64 78 84 88 114 118 124 138 148 180 202	70334437190
TPT(14)	224237526437890391	0 2 126 128 150 152 156 158 240 242 270 272 390 392	83978912022