Prime p₀= 673691593913735081 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 4 2 58 2 40 2 (?)
a_n: 0 2 18 20 60 62 66 68 126 128 168 170
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: 170
Found by: =Lupus=
db: batch=72, k=12, 16 40 4 58 40

TPT(12)	673691293775953457	0 2 42 44 114 116 144 146 174 176 180 182	-300137781624
STPT(10)	673691326528935719	0 2 12 14 90 92 168 170 180 182	-267384799362
TPT(12)	673691421532514081	0 2 30 32 168 170 240 242 336 338 420 422	-172381221000
SPT(16)	673691426758297201	0 16 30 52 78 106 108 148 150 190 192 220 246 268 282 298	-167155437880
TPT(12)	673691555201855921	0 2 66 68 78 80 96 98 126 128 150 152	-38711879160
SPT(16)	673691558159740669	0 24 40 52 54 70 84 112 162 190 204 220 222 234 250 274	-35753994412
SPT(16)	673691621028504817	0 22 36 60 72 82 120 124 162 166 204 214 226 250 264 286	27114769736
SPT(16)	673691660534510843	0 56 86 96 108 156 180 210 374 404 428 476 488 498 528 584	66620775762
SPT(16)	673691713120520261	0 30 32 102 122 128 140 212 228 300 312 318 338 408 410 440	119206785180
TPT(12)	673691725573085831	0 2 78 80 108 110 126 128 138 140 150 152	131659350750
TPT(14)	673691730028808831	0 2 6 8 18 20 30 32 60 62 90 92 300 302	136115073750