Prime p₀= 353727822931093907 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 16 2 10 2 (?)
a_n: 0 2 30 32 60 62 84 86 102 104 114 116
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: 116
Found by: sellyme
db: batch=70, k=12, 28 28 22 16 10

SPT(16)	353727726557579009	0 44 60 140 180 234 264 282 320 338 368 422 462 542 558 602	-96373514898
SPT(14)	353727736446556811	0 30 48 66 72 96 98 120 122 146 152 170 188 218	-86484537096
SPT(16)	353727751111280671	0 46 60 100 102 108 112 130 138 156 160 166 168 208 222 268	-71819813236
SPT(14)	353727799695499711	0 30 40 96 100 118 180 256 318 336 340 396 406 436	-23235594196
SPT(14)	353727814994558057	0 30 42 50 72 102 144 242 284 314 336 344 356 386	-7936535850
SPT(14)	353727816552843259	0 28 48 60 94 102 118 204 220 228 262 274 294 322	-6378250648
TPT(12)	353727829638332111	0 2 6 8 156 158 186 188 198 200 210 212	6707238204
TPT(12)	353727833354825327	0 2 30 32 72 74 192 194 222 224 234 236	10423731420
STPT(10)	353727866467913417	0 2 30 32 42 44 54 56 84 86	43536819510
TPT(12)	353727872755479041	0 2 30 32 120 122 150 152 198 200 210 212	49824385134
TPT(12)	353727908526627287	0 2 42 44 102 104 132 134 162 164 174 176	85595533380