Prime p₀= 64544740461628109 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 28 2 4 2 (?)
a_n: 0 2 60 62 72 74 102 104 132 134 138 140
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: 140
Found by: emoga
db: batch=67, k=12, 58 10 28 28 4

SPT(16)	64544700245348293	0 10 24 34 48 54 76 94 150 168 190 196 210 220 234 244	-40216279816
SPT(14)	64544703171318173	0 66 86 110 144 156 198 266 308 320 354 378 398 464	-37290309936
TPT(12)	64544721590516159	0 2 102 104 168 170 198 200 210 212 222 224	-18871111950
SPT(14)	64544723103242117	0 2 26 32 42 66 80 102 116 140 150 156 180 182	-17358385992
SPT(14)	64544723958896653	0 6 30 36 54 58 106 168 216 220 238 244 268 274	-16502731456
SPT(14)	64544734834526033	0 6 48 54 80 90 140 174 224 234 260 266 308 314	-5627102076
SPT(14)	64544752671075473	0 14 54 56 90 98 114 140 156 164 198 200 240 254	12209447364
STPT(10)	64544775920689679	0 2 18 20 30 32 42 44 60 62	35459061570
SPT(16)	64544778847878313	0 18 40 70 84 88 96 108 166 178 186 190 204 234 256 274	38386250204
TPT(12)	64544788427602361	0 2 6 8 126 128 240 242 270 272 300 302	47965974252
SPT(14)	64544788875271147	0 24 60 100 130 132 150 154 172 174 204 244 280 304	48413643038