Prime p₀= 296054933516650337 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 76 2 82 2 58 2 (?)
a_n: 0 2 12 14 42 44 120 122 204 206 264 266
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: vaughan
db: batch=69, k=12, 10 28 76 82 58

SPT(14)	296054864707246259	0 42 60 150 174 180 198 224 242 248 272 362 380 422	-68809404078
SPT(16)	296054868701752247	0 72 86 96 120 182 204 236 240 272 294 356 380 390 404 476	-64814898090
STPT(10)	296054871165742217	0 2 42 44 72 74 102 104 144 146	-62350908120
SPT(14)	296054895655782589	0 18 34 40 42 60 72 100 112 130 132 138 154 172	-37860867748
SPT(14)	296054901462180491	0 50 56 72 78 92 96 152 156 170 176 192 198 248	-32054469846
SPT(14)	296054915596624229	0 30 48 78 108 210 260 288 338 440 470 500 518 548	-17920026108
SPT(14)	296054937405664537	0 22 34 42 52 60 84 112 136 144 154 162 174 196	3889014200
SPT(14)	296054961467698841	0 18 48 56 78 116 126 140 150 188 210 218 248 266	27951048504
TPT(12)	296054963838686891	0 2 18 20 60 62 150 152 156 158 180 182	30322036554
SPT(14)	296054985753145921	0 22 30 66 70 130 148 150 168 228 232 268 276 298	52236495584
SPT(14)	296054987316330689	0 2 18 20 44 90 122 150 182 228 252 254 270 272	53799680352