Prime p₀= 4831950823220681 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 46 2 28 2 40 2 58 2 (?)
a_n: 0 2 18 20 66 68 96 98 138 140 198 200
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: 200
Found by: [SG-2W]Kurzer
db: batch=61, k=12, 16 46 28 40 58

SPT(14)	4831907447031583	0 10 34 48 78 84 90 94 100 106 136 150 174 184	-43376189098
SPT(14)	4831908281046871	0 6 22 36 52 70 72 76 78 96 112 126 142 148	-42542173810
SPT(14)	4831924612993703	0 18 30 38 60 86 128 156 198 224 246 254 266 284	-26210226978
SPT(16)	4831928712245603	0 14 36 50 68 90 104 134 180 210 224 246 264 278 300 314	-22110975078
TPT(12)	4831938295005761	0 2 60 62 78 80 120 122 288 290 300 302	-12528214920
SPT(14)	4831945740653651	0 2 6 12 26 86 90 92 96 156 170 176 180 182	-5082567030
SPT(14)	4831954024634017	0 36 94 100 106 114 144 232 262 270 276 282 340 376	3201413336
SPT(14)	4831957300099451	0 42 86 146 158 168 176 222 230 240 252 312 356 398	6476878770
SPT(14)	4831957409698931	0 30 66 72 80 102 122 156 176 198 206 212 248 278	6586478250
SPT(14)	4831959346174619	0 8 42 98 114 162 182 240 260 308 324 380 414 422	8522953938
SPT(14)	4831964799879853	0 28 94 96 124 154 166 168 180 210 238 240 306 334	13976659172