Prime p₀= 353727829638332111 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 148 2 28 2 10 2 10 2 (?)
a_n: 0 2 6 8 156 158 186 188 198 200 210 212
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: sellyme
db: batch=70, k=12, 4 148 28 10 10

SPT(14)	353727736446556811	0 30 48 66 72 96 98 120 122 146 152 170 188 218	-93191775300
SPT(16)	353727751111280671	0 46 60 100 102 108 112 130 138 156 160 166 168 208 222 268	-78527051440
SPT(14)	353727799695499711	0 30 40 96 100 118 180 256 318 336 340 396 406 436	-29942832400
SPT(14)	353727814994558057	0 30 42 50 72 102 144 242 284 314 336 344 356 386	-14643774054
SPT(14)	353727816552843259	0 28 48 60 94 102 118 204 220 228 262 274 294 322	-13085488852
TPT(12)	353727822931093907	0 2 30 32 60 62 84 86 102 104 114 116	-6707238204
TPT(12)	353727833354825327	0 2 30 32 72 74 192 194 222 224 234 236	3716493216
STPT(10)	353727866467913417	0 2 30 32 42 44 54 56 84 86	36829581306
TPT(12)	353727872755479041	0 2 30 32 120 122 150 152 198 200 210 212	43117146930
TPT(12)	353727908526627287	0 2 42 44 102 104 132 134 162 164 174 176	78888295176
SPT(16)	353727923399377517	0 2 6 14 86 116 126 152 174 200 210 240 312 320 324 326	93761045406