Prime p₀= 579158608740026111 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 4 2 100 2 40 2 28 2 (?)
a_n: 0 2 60 62 66 68 168 170 210 212 240 242
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: samuraiii
db: batch=71, k=12, 58 4 100 40 28

SPT(14)	579158551796131289	0 8 14 48 72 92 104 108 120 140 164 198 204 212	-56943894822
SPT(14)	579158557164464131	0 10 52 72 82 136 142 150 156 210 220 240 282 292	-51575561980
SPT(14)	579158561516574811	0 18 36 48 78 88 142 246 300 310 340 352 370 388	-47223451300
SPT(14)	579158565368187193	0 4 30 124 180 184 190 204 210 214 270 364 390 394	-43371838918
TPT(12)	579158566141819007	0 2 114 116 180 182 192 194 222 224 414 416	-42598207104
SPT(14)	579158578796518859	0 78 108 110 132 140 168 284 312 320 342 344 374 452	-29943507252
SPT(14)	579158636467124711	0 12 18 30 32 78 90 98 110 156 158 170 176 188	27727098600
SPT(14)	579158644755024557	0 32 42 72 80 84 144 152 212 216 224 254 264 296	36014998446
SPT(14)	579158659923720949	0 34 42 48 72 100 102 130 132 160 184 190 198 232	51183694838
SPT(14)	579158663627669071	0 36 46 48 70 78 168 178 268 276 298 300 310 346	54887642960
SPT(14)	579158667598680017	0 30 36 50 60 62 90 116 144 146 156 170 176 206	58858653906