Prime p₀= 64544775920689679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: emoga
db: batch=67, k=10, 2 16 2 10 2

TPT(12)	64544721590516159	0 2 102 104 168 170 198 200 210 212 222 224	-54330173520
SPT(14)	64544723103242117	0 2 26 32 42 66 80 102 116 140 150 156 180 182	-52817447562
SPT(14)	64544723958896653	0 6 30 36 54 58 106 168 216 220 238 244 268 274	-51961793026
SPT(14)	64544734834526033	0 6 48 54 80 90 140 174 224 234 260 266 308 314	-41086163646
TPT(12)	64544740461628109	0 2 60 62 72 74 102 104 132 134 138 140	-35459061570
SPT(14)	64544752671075473	0 14 54 56 90 98 114 140 156 164 198 200 240 254	-23249614206
SPT(16)	64544778847878313	0 18 40 70 84 88 96 108 166 178 186 190 204 234 256 274	2927188634
TPT(12)	64544788427602361	0 2 6 8 126 128 240 242 270 272 300 302	12506912682
SPT(14)	64544788875271147	0 24 60 100 130 132 150 154 172 174 204 244 280 304	12954581468
SPT(14)	64544791740981401	0 2 42 78 80 90 108 152 170 180 182 218 258 260	15820291722
SPT(14)	64544800598518913	0 14 50 194 200 204 210 320 326 330 336 480 516 530	24677829234