Prime p₀= 52791486205062359 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 28 2 4 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 108 110
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: 110
Found by: UBT - Timbo
db: batch=65, k=12, 28 28 10 28 4

SPT(14)	52791416567553683	0 8 48 50 140 188 200 204 216 264 354 356 396 404	-69637508676
SPT(14)	52791421205289691	0 22 60 72 108 126 148 150 172 190 226 238 276 298	-64999772668
TPT(12)	52791432210698591	0 2 60 62 90 92 156 158 168 170 180 182	-53994363768
SPT(14)	52791463181103193	0 4 18 78 130 150 196 228 274 294 346 406 420 424	-23023959166
SPT(16)	52791477756623591	0 6 42 66 96 108 110 146 192 228 230 242 272 296 332 338	-8448438768
SPT(16)	52791479302194299	0 2 20 24 44 80 98 128 144 174 192 228 248 252 270 272	-6902868060
SPT(14)	52791486428466391	0 28 42 58 72 82 100 138 156 166 180 196 210 238	223404032
SPT(14)	52791500891091211	0 22 46 88 90 130 162 166 198 238 240 282 306 328	14686028852
SPT(14)	52791503928702041	0 6 12 20 98 116 122 126 132 150 228 236 242 248	17723639682
SPT(14)	52791529319996893	0 4 6 18 30 40 60 154 174 184 196 208 210 214	43114934534
TPT(12)	52791541831641749	0 2 12 14 42 44 78 80 90 92 162 164	55626579390