Prime p₀= 9066711037245437 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 238 2 10 2 46 2 28 2 22 2 (?)
a_n: 0 2 240 242 252 254 300 302 330 332 354 356
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: 356
Found by: Nosferatu*
db: batch=62, k=12, 238 10 46 28 22

SPT(14)	9066674901164317	0 6 10 42 54 64 120 166 222 232 244 276 280 286	-36136081120
SPT(14)	9066675643010717	0 14 32 42 44 56 86 90 120 132 134 144 162 176	-35394234720
SPT(14)	9066682882202593	0 16 18 40 60 84 96 118 130 154 174 196 198 214	-28155042844
SPT(14)	9066688691346197	0 62 74 84 114 156 164 192 200 242 272 282 294 356	-22345899240
SPT(16)	9066701036572979	0 30 50 62 72 108 122 134 198 210 224 260 270 282 302 332	-10000672458
SPT(16)	9066710761043041	0 10 16 40 42 82 88 96 142 150 156 196 198 222 228 238	-276202396
SPT(14)	9066715782721613	0 8 14 24 48 56 78 146 168 176 200 210 216 224	4745476176
SPT(14)	9066716634504041	0 2 32 80 86 116 126 146 156 186 192 240 270 272	5597258604
SPT(14)	9066725953268531	0 18 60 92 120 132 150 158 176 188 216 248 290 308	14916023094
TPT(12)	9066737612786699	0 2 18 20 30 32 72 74 102 104 108 110	26575541262
SPT(14)	9066747931422893	0 8 20 48 56 74 186 218 330 348 356 384 396 404	36894177456