Prime p₀= 18687914017082039 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 46 2 88 2 40 2 16 2 (?)
a_n: 0 2 72 74 120 122 210 212 252 254 270 272
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: 272
Found by: emoga
db: batch=62, k=12, 70 46 88 40 16

SPT(14)	18687893576668903	0 54 58 70 90 138 166 168 196 244 264 276 280 334	-20440413136
SPT(14)	18687893957652193	0 18 46 94 96 130 148 186 204 238 240 288 316 334	-20059429846
SPT(14)	18687903685190011	0 18 46 72 82 100 112 126 138 156 166 192 220 238	-10331892028
SPT(14)	18687905637415117	0 42 46 76 82 102 124 132 154 174 180 210 214 256	-8379666922
SPT(14)	18687906805636109	0 30 32 38 42 72 84 98 110 140 144 150 152 182	-7211445930
STPT(10)	18687907336645241	0 2 30 32 60 62 90 92 120 122	-6680436798
SPT(14)	18687918018033749	0 30 44 60 84 92 108 134 150 158 182 198 212 242	4000951710
SPT(14)	18687928784501159	0 30 54 74 78 98 140 198 240 260 264 284 308 338	14767419120
TPT(12)	18687940084888757	0 2 12 14 60 62 72 74 90 92 132 134	26067806718
SPT(14)	18687944635769371	0 18 78 102 112 120 130 180 190 198 208 232 292 310	30618687332
SPT(14)	18687954949002467	0 30 42 72 84 140 162 164 186 242 254 284 296 326	40931920428