Prime p₀= 2807777840075926967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2807776599169901267	0 2 42 44 150 152 282 284 294 296 360 362 390 392	-1240906025700
TPT(14)	2807777382218470199	0 2 30 32 42 44 180 182 222 224 228 230 282 284	-457857456768
SPT(16)	2807777390474924191	0 10 18 52 58 78 90 108 112 130 142 162 168 202 210 220	-449601002776
SPT(16)	2807777467328520551	0 20 72 86 132 140 146 170 198 222 228 236 282 296 348 368	-372747406416
STPT(10)	2807777689621353341	0 2 6 8 48 50 90 92 96 98	-150454573626
SPT(20)	2807777816905511783	0 6 48 56 110 128 134 138 144 146 168 170 176 180 186 204 258 266 308 314	-23170415184
SPT(16)	2807778254681517841	0 48 52 66 70 100 118 126 142 150 168 198 202 216 220 268	414605590874
SPT(18)	2807778419532314329	0 12 72 82 90 118 190 204 220 222 238 252 324 352 360 370 430 442	579456387362
STPT(10)	2807778717345042557	0 2 30 32 42 44 54 56 84 86	877269115590
SPT(16)	2807778939407541061	0 36 46 76 78 88 96 130 156 190 198 208 210 240 250 286	1099331614094
SPT(16)	2807779026955254509	0 2 24 78 104 134 174 188 234 248 288 318 344 398 420 422	1186879327542