Prime p₀= 36566663762528297 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 40 2 76 2 70 2 (?)
a_n: 0 2 60 62 72 74 114 116 192 194 264 266
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: 266
Found by: stoneageman
db: batch=65, k=12, 58 10 40 76 70

SPT(14)	36566635531376851	0 52 118 138 180 208 216 292 300 328 370 390 456 508	-28231151446
SPT(14)	36566638249780679	0 14 42 54 78 98 104 138 144 164 188 200 228 242	-25512747618
STPT(10)	36566642846885909	0 2 18 20 30 32 42 44 60 62	-20915642388
SPT(14)	36566644847989339	0 12 24 52 54 58 70 72 84 88 90 118 130 142	-18914538958
TPT(12)	36566648285755727	0 2 12 14 72 74 102 104 144 146 150 152	-15476772570
SPT(14)	36566656019047393	0 10 18 24 70 78 148 150 220 228 274 280 288 298	-7743480904
SPT(14)	36566664458891407	0 16 22 42 64 66 162 184 280 282 304 324 330 346	696363110
SPT(14)	36566670737299277	0 50 72 86 92 102 110 126 134 144 150 164 186 236	6974770980
SPT(14)	36566670817210621	0 28 52 72 90 118 162 196 240 268 286 306 330 358	7054682324
SPT(14)	36566685925016693	0 6 20 54 66 84 90 110 116 134 146 180 194 200	22162488396
SPT(14)	36566688498119557	0 12 16 60 64 72 150 226 304 312 316 360 364 376	24735591260