Prime p₀= 263050886900778209 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 250 2 16 2 118 2 16 2 (?)
a_n: 0 2 60 62 312 314 330 332 450 452 468 470
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: 470
Found by: davidBAM
db: batch=69, k=12, 58 250 16 118 16

SPT(14)	263050858677465757	0 42 90 120 156 166 184 222 240 250 286 316 364 406	-28223312452
TPT(14)	263050859640471599	0 2 30 32 90 92 102 104 132 134 138 140 168 170	-27260306610
SPT(14)	263050860303404171	0 8 20 50 92 126 138 140 152 186 228 258 270 278	-26597374038
SPT(14)	263050863332561849	0 12 54 62 72 74 84 128 138 140 150 158 200 212	-23568216360
SPT(14)	263050881938908417	0 4 30 34 46 72 100 156 184 210 222 226 252 256	-4961869792
TPT(12)	263050884898256177	0 2 30 32 72 74 84 86 90 92 132 134	-2002522032
SPT(14)	263050900520319781	0 36 52 70 72 100 102 160 162 190 192 210 226 262	13619541572
SPT(14)	263050908040356209	0 2 8 48 60 72 102 200 230 242 254 294 300 302	21139578000
SPT(14)	263050909618164961	0 10 12 40 42 60 66 76 82 100 102 130 132 142	22717386752
SPT(14)	263050920011773381	0 28 36 78 108 112 130 168 186 190 220 262 270 298	33110995172
SPT(14)	263050923102385877	0 26 50 90 114 156 216 224 284 326 350 390 414 440	36201607668