Prime p₀= 558907167781714289 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 52 2 76 2 46 2 22 2 (?)
a_n: 0 2 18 20 72 74 150 152 198 200 222 224
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: 224
Found by: nenym
db: batch=71, k=12, 16 52 76 46 22

SPT(14)	558907056568298653	0 28 34 70 88 96 124 210 238 246 264 300 306 334	-111213415636
SPT(14)	558907057839288497	0 20 26 56 80 84 86 174 176 180 204 234 240 260	-109942425792
SPT(14)	558907062270654817	0 12 30 42 70 82 84 130 132 144 172 184 202 214	-105511059472
SPT(14)	558907079821210213	0 10 88 90 108 120 178 186 244 256 274 276 354 364	-87960504076
SPT(14)	558907088256339811	0 6 18 30 58 60 108 178 226 228 256 268 280 286	-79525374478
SPT(14)	558907163872252589	0 14 18 32 38 42 60 122 140 144 150 164 168 182	-3909461700
SPT(14)	558907173053471461	0 16 18 22 36 66 70 108 112 142 156 160 162 178	5271757172
SPT(14)	558907179421627711	0 10 58 72 120 142 148 252 258 280 328 342 390 400	11639913422
TPT(12)	558907186323429971	0 2 66 68 108 110 150 152 186 188 210 212	18541715682
TPT(12)	558907190528136299	0 2 78 80 90 92 108 110 132 134 150 152	22746422010
SPT(14)	558907190688104119	0 54 64 72 120 130 154 198 222 232 280 288 298 352	22906389830