Prime p₀= 87508109790201629 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 16 2 46 2 82 2 16 2 (?)
a_n: 0 2 72 74 90 92 138 140 222 224 240 242
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: 242
Found by: gaballus
db: batch=67, k=12, 70 16 46 82 16

TPT(12)	87508075758051017	0 2 60 62 102 104 114 116 210 212 222 224	-34032150612
SPT(14)	87508079177953739	0 8 30 54 90 120 134 138 152 182 218 242 264 272	-30612247890
SPT(14)	87508085739339581	0 2 8 50 68 78 92 156 170 180 198 240 246 248	-24050862048
SPT(14)	87508091402617399	0 22 28 40 52 90 112 120 142 180 192 204 210 232	-18387584230
SPT(14)	87508093850742277	0 30 60 114 160 172 196 270 294 306 352 406 436 466	-15939459352
SPT(14)	87508100033612341	0 6 12 40 42 52 70 72 90 100 102 130 136 142	-9756589288
SPT(14)	87508112856812831	0 2 80 96 98 108 126 182 200 210 212 228 306 308	3066611202
SPT(14)	87508144271617417	0 6 10 52 66 84 90 106 112 130 144 186 190 196	34481415788
TPT(12)	87508145454058319	0 2 72 74 90 92 102 104 198 200 282 284	35663856690
SPT(14)	87508148574993329	0 8 14 84 98 108 120 128 140 150 164 234 240 248	38784791700
SPT(14)	87508163646739399	0 28 54 72 78 88 100 102 114 124 130 148 174 202	53856537770