Prime p₀= 123201099053129057 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 82 2 94 2 28 2 10 2 (?)
a_n: 0 2 30 32 114 116 210 212 240 242 252 254
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: 254
Found by: [B@P] Daniel
db: batch=67, k=12, 28 82 94 28 10

SPT(14)	123201056582702893	0 16 58 124 156 160 168 196 204 208 240 306 348 364	-42470426164
SPT(14)	123201059298952417	0 52 60 136 154 186 214 222 250 282 300 376 384 436	-39754176640
SPT(14)	123201059610276551	0 36 56 66 78 96 138 140 182 200 212 222 242 278	-39442852506
TPT(12)	123201063257326931	0 2 6 8 48 50 90 92 156 158 198 200	-35795802126
SPT(14)	123201080396065433	0 14 38 60 90 104 126 188 210 224 254 276 300 314	-18657063624
SPT(14)	123201096334621061	0 26 30 50 66 98 120 158 180 212 228 248 252 278	-2718507996
SPT(14)	123201131492878937	0 42 186 192 200 210 212 264 266 276 284 290 434 476	32439749880
SPT(14)	123201134281154507	0 36 74 90 110 114 152 204 242 246 266 282 320 356	35228025450
SPT(14)	123201136991496901	0 10 16 30 42 52 88 120 156 166 178 192 198 208	37938367844
SPT(14)	123201152908940723	0 56 78 116 144 168 180 224 236 260 288 326 348 404	53855811666
SPT(16)	123201161424632927	0 32 44 56 116 146 192 252 254 314 360 390 450 462 474 506	62371503870