Prime p₀= 87027503608595111 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 190 2 10 2 34 2 10 2 (?)
a_n: 0 2 6 8 198 200 210 212 246 248 258 260
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: 260
Found by: nenym
db: batch=67, k=12, 4 190 10 34 10

SPT(14)	87027440747957737	0 46 124 144 166 172 192 214 234 240 262 282 360 406	-62860637374
SPT(14)	87027447154051211	0 2 30 36 80 110 146 156 192 222 266 272 300 302	-56454543900
SPT(14)	87027451491458201	0 38 42 62 128 132 138 140 146 150 216 236 240 278	-52117136910
SPT(16)	87027479152430939	0 2 20 24 42 62 80 90 104 114 132 152 170 174 192 194	-24456164172
TPT(12)	87027488350184999	0 2 12 14 42 44 138 140 180 182 240 242	-15258410112
SPT(14)	87027491697435571	0 6 22 66 76 78 88 90 100 102 112 156 172 178	-11911159540
TPT(12)	87027523898132897	0 2 60 62 120 122 162 164 204 206 252 254	20289537786
SPT(14)	87027524338106299	0 52 54 72 78 82 100 132 150 154 160 178 180 232	20729511188
SPT(14)	87027552308926609	0 18 30 42 52 58 70 132 144 150 160 172 184 202	48700331498
TPT(12)	87027558259284029	0 2 30 32 78 80 90 92 228 230 258 260	54650688918
SPT(14)	87027564522479237	0 12 72 164 194 210 236 270 296 312 342 434 494 506	60913884126