Prime p₀= 2040163392050480687 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: Dingo
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2040161707589066539	0 4 10 30 60 70 84 88 210 214 228 238 268 288 294 298	-1684461414148
STPT(10)	2040161945759215541	0 2 6 8 48 50 90 92 96 98	-1446291265146
STPT(10)	2040162134747107247	0 2 30 32 60 62 90 92 120 122	-1257303373440
TPT(14)	2040162296380751729	0 2 18 20 42 44 132 134 168 170 240 242 270 272	-1095669728958
SPT(16)	2040162643264253549	0 44 68 72 114 132 158 174 248 264 290 308 350 354 378 422	-748786227138
TPT(14)	2040163078195941539	0 2 12 14 78 80 168 170 192 194 222 224 240 242	-313854539148
SPT(16)	2040163975124732557	0 60 100 102 106 144 154 172 174 192 202 240 244 246 286 346	583074251870
STPT(10)	2040164147144695181	0 2 36 38 78 80 120 122 156 158	755094214494
SPT(16)	2040164213699006597	0 14 60 122 146 152 164 186 230 252 264 270 294 356 402 416	821648525910
SPT(16)	2040164359747677061	0 30 40 42 48 52 72 90 160 178 198 202 208 210 220 250	967697196374
SPT(16)	2040164373949049063	0 18 56 78 84 104 126 156 188 218 240 260 266 288 326 344	981898568376