Prime p₀= 1072001643210682799 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1071999571776574069	0 18 48 100 118 124 132 154 198 220 228 234 252 304 334 352	-2071434108730
STPT(10)	1071999590514302501	0 2 6 8 18 20 30 32 36 38	-2052696380298
SPT(16)	1072000028125292197	0 16 70 72 150 240 306 330 352 376 442 532 610 612 666 682	-1615085390602
STPT(10)	1072000674516273329	0 2 18 20 60 62 102 104 120 122	-968694409470
SPT(16)	1072001031586732381	0 18 52 66 72 82 88 96 142 150 156 166 172 186 220 238	-611623950418
SPT(16)	1072001254197967271	0 38 72 80 90 92 98 128 132 162 168 170 180 188 222 260	-389012715528
STPT(10)	1072001747831152049	0 2 18 20 30 32 42 44 60 62	104620469250
STPT(10)	1072001998522942301	0 2 126 128 138 140 150 152 276 278	355312259502
STPT(10)	1072002167885725169	0 2 30 32 60 62 90 92 120 122	524675042370
TPT(14)	1072002245257353857	0 2 42 44 144 146 192 194 234 236 252 254 264 266	602046671058
SPT(16)	1072002312492338987	0 2 30 84 86 116 144 156 200 212 240 270 272 326 354 356	669281656188