Prime p₀= 153123546056822987 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 52 2 4 2 52 2 178 2 (?)
a_n: 0 2 60 62 114 116 120 122 174 176 354 356
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: matsu_pl
db: batch=67, k=12, 58 52 4 52 178

TPT(12)	153123487995045779	0 2 12 14 72 74 78 80 168 170 180 182	-58061777208
TPT(12)	153123491802026741	0 2 186 188 210 212 240 242 246 248 270 272	-54254796246
SPT(14)	153123495860593553	0 60 98 138 140 150 164 180 194 204 206 246 284 344	-50196229434
STPT(10)	153123524073772919	0 2 18 20 30 32 42 44 60 62	-21983050068
SPT(14)	153123527843070959	0 12 30 98 152 168 198 224 254 270 324 392 410 422	-18213752028
STPT(10)	153123534621085289	0 2 48 50 60 62 72 74 120 122	-11435737698
SPT(14)	153123559523854529	0 24 38 60 68 102 122 180 200 234 242 264 278 302	13467031542
SPT(14)	153123561040582387	0 6 24 30 34 40 52 54 66 72 76 82 100 106	14983759400
SPT(14)	153123583326154277	0 30 42 50 110 152 200 264 312 354 414 422 434 464	37269331290
SPT(14)	153123600623420351	0 36 108 140 150 156 176 240 260 266 276 308 380 416	54566597364
SPT(14)	153123622389413029	0 22 58 60 72 82 148 162 228 238 250 252 288 310	76332590042