Prime p₀= 353727833354825327 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 118 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 192 194 222 224 234 236
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: 236
Found by: sellyme
db: batch=70, k=12, 28 40 118 28 10

SPT(16)	353727751111280671	0 46 60 100 102 108 112 130 138 156 160 166 168 208 222 268	-82243544656
SPT(14)	353727799695499711	0 30 40 96 100 118 180 256 318 336 340 396 406 436	-33659325616
SPT(14)	353727814994558057	0 30 42 50 72 102 144 242 284 314 336 344 356 386	-18360267270
SPT(14)	353727816552843259	0 28 48 60 94 102 118 204 220 228 262 274 294 322	-16801982068
TPT(12)	353727822931093907	0 2 30 32 60 62 84 86 102 104 114 116	-10423731420
TPT(12)	353727829638332111	0 2 6 8 156 158 186 188 198 200 210 212	-3716493216
STPT(10)	353727866467913417	0 2 30 32 42 44 54 56 84 86	33113088090
TPT(12)	353727872755479041	0 2 30 32 120 122 150 152 198 200 210 212	39400653714
TPT(12)	353727908526627287	0 2 42 44 102 104 132 134 162 164 174 176	75171801960
SPT(16)	353727923399377517	0 2 6 14 86 116 126 152 174 200 210 240 312 320 324 326	90044552190
SPT(14)	353727942904444439	0 8 60 74 90 104 108 140 144 158 174 188 240 248	109549619112