Prime p₀= 2858320390349076941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 118 2 16 2 16 2 118 2 (?)
a_n: 0 2 120 122 138 140 156 158 276 278
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: 278
Found by: Roadranner
db: batch=82, k=10, 2 118 2 16 2

SPT(16)	2858319549998437883	0 18 86 96 138 156 168 176 270 278 290 308 350 360 428 446	-840350639058
STPT(10)	2858319649369392737	0 2 12 14 42 44 72 74 84 86	-740979684204
SPT(16)	2858319779593385581	0 40 42 70 78 82 108 132 238 262 288 292 300 328 330 370	-610755691360
SPT(16)	2858320055916884959	0 12 24 210 234 252 264 322 360 418 430 448 472 658 670 682	-334432191982
SPT(16)	2858320092189191053	0 28 30 40 48 78 100 114 124 138 160 190 198 208 210 238	-298159885888
STPT(12)	2858320149550131269	0 2 48 50 78 80 90 92 120 122 168 170	-240798945672
SPT(18)	2858320872763415837	0 44 92 96 116 144 150 162 164 282 284 296 302 330 350 354 402 446	482414338896
TPT(14)	2858321075279230439	0 2 30 32 180 182 228 230 240 242 270 272 300 302	684930153498
STPT(10)	2858321324151944171	0 2 96 98 138 140 180 182 276 278	933802867230
STPT(10)	2858321512667923187	0 2 30 32 72 74 114 116 144 146	1122318846246
SPT(16)	2858321772474644017	0 6 24 34 42 64 70 136 150 216 222 244 252 262 280 286	1382125567076