Prime p₀= 589916357996425511 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 4 2 172 2 28 2 (?)
a_n: 0 2 6 8 30 32 36 38 210 212 240 242
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: 242
Found by: UBT - Timbo
db: batch=71, k=12, 4 22 4 172 28

TPT(12)	589916266957977059	0 2 18 20 72 74 78 80 90 92 168 170	-91038448452
SPT(14)	589916298963188521	0 16 36 70 100 106 126 130 150 156 186 220 240 256	-59033236990
SPT(14)	589916304531484681	0 60 70 100 132 156 186 226 256 280 312 342 352 412	-53464940830
TPT(12)	589916315506674911	0 2 18 20 30 32 138 140 186 188 210 212	-42489750600
SPT(14)	589916322302580073	0 10 36 58 78 106 136 138 168 196 216 238 264 274	-35693845438
SPT(14)	589916327647159483	0 36 48 60 64 78 144 190 256 270 274 286 298 334	-30349266028
SPT(14)	589916361934637201	0 32 48 50 80 90 116 132 158 168 198 200 216 248	3938211690
SPT(14)	589916432349276997	0 24 70 72 82 100 174 202 276 294 304 306 352 376	74352851486
SPT(14)	589916554789629427	0 12 40 42 54 64 70 84 90 100 112 114 142 154	196793203916
SPT(14)	589916572217046779	0 14 24 60 74 78 90 92 104 108 122 158 168 182	214220621268
SPT(14)	589916586501095531	0 6 86 90 110 122 126 152 156 168 188 192 272 278	228504670020