Prime p₀= 64554581013796931 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 46 2 28 2 10 2 76 2 (?)
a_n: 0 2 78 80 126 128 156 158 168 170 246 248
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: 248
Found by: emoga
db: batch=67, k=12, 76 46 28 10 76

SPT(14)	64554548800282631	0 26 48 116 150 200 206 252 258 308 342 410 432 458	-32213514300
SPT(14)	64554554521143457	0 16 30 42 52 60 82 84 106 114 124 136 150 166	-26492653474
SPT(14)	64554556609982629	0 22 28 54 88 100 112 180 192 204 238 264 270 292	-24403814302
SPT(14)	64554567835819219	0 4 28 100 138 168 190 222 244 274 312 384 408 412	-13177977712
SPT(14)	64554571647879349	0 22 108 144 180 222 234 268 280 322 358 394 480 502	-9365917582
SPT(14)	64554578855528689	0 78 82 102 114 148 162 250 264 298 310 330 334 412	-2158268242
SPT(14)	64554583335156581	0 8 20 38 50 56 62 66 72 78 90 108 120 128	2321359650
SPT(14)	64554585372043651	0 10 52 112 148 150 162 166 178 180 216 276 318 328	4358246720
TPT(12)	64554592063837061	0 2 6 8 30 32 60 62 90 92 96 98	11050040130
TPT(12)	64554623664302699	0 2 12 14 30 32 132 134 180 182 210 212	42650505768
SPT(14)	64554639652649983	0 6 40 84 88 100 118 126 144 156 160 204 238 244	58638853052