Prime p₀= 4817812383236189 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 52 2 16 2 (?)
a_n: 0 2 78 80 108 110 138 140 192 194 210 212
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: Lazarus-uk
db: batch=61, k=12, 76 28 28 52 16

SPT(14)	4817789550399197	0 12 26 36 50 66 72 80 86 102 116 126 140 152	-22832836992
SPT(14)	4817791243786607	0 30 50 72 80 114 140 144 170 204 212 234 254 284	-21139449582
SPT(14)	4817792767267391	0 38 42 86 116 156 182 186 212 252 282 326 330 368	-19615968798
SPT(14)	4817798053941469	0 18 22 42 58 70 78 112 120 132 148 168 172 190	-14329294720
SPT(14)	4817800324006589	0 8 24 30 72 80 84 128 132 140 182 188 204 212	-12059229600
TPT(12)	4817803321863107	0 2 30 32 102 104 144 146 162 164 174 176	-9061373082
SPT(14)	4817821033282289	0 8 14 50 68 90 134 138 182 204 222 258 264 272	8650046100
SPT(14)	4817821801349959	0 30 34 70 78 90 108 124 142 154 162 198 202 232	9418113770
SPT(14)	4817831058458767	0 6 12 30 42 60 66 90 96 114 126 144 150 156	18675222578
TPT(12)	4817833490058047	0 2 54 56 60 62 84 86 114 116 174 176	21106821858
SPT(14)	4817835547610903	0 44 56 74 114 116 156 158 198 200 240 258 270 314	23164374714