Prime p₀= 2068544113906980947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Cruncher Pete
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2068542946673253101	0 2 6 8 18 20 30 32 36 38	-1167233727846
STPT(10)	2068543338715410881	0 2 36 38 78 80 120 122 156 158	-775191570066
SPT(16)	2068543582873040167	0 6 16 60 82 90 112 114 142 144 166 174 196 240 250 256	-531033940780
STPT(10)	2068543679643304607	0 2 42 44 72 74 102 104 144 146	-434263676340
SPT(16)	2068543742838017741	0 18 20 30 36 48 98 116 132 150 200 212 218 228 230 248	-371068963206
TPT(14)	2068543835285501141	0 2 66 68 96 98 138 140 150 152 168 170 198 200	-278621479806
STPT(10)	2068544209979757359	0 2 12 14 90 92 168 170 180 182	96072776412
SPT(16)	2068544357816970587	0 26 36 102 126 140 170 180 266 276 306 320 344 410 420 446	243909989640
SPT(16)	2068544463386140357	0 22 30 36 94 102 114 156 190 232 244 252 310 316 324 346	349479159410
SPT(16)	2068544783429267021	0 20 30 60 72 138 152 182 186 216 230 296 308 338 348 368	669522286074
STPT(10)	2068545024248335151	0 2 36 38 78 80 120 122 156 158	910341354204