Prime p₀= 22828431062648987 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: ChelseaOilman
db: batch=65, k=10, 2 10 2 28 2

SPT(14)	22828379081602099	0 40 54 70 88 118 144 154 180 210 228 244 258 298	-51981046888
SPT(14)	22828380792031273	0 6 28 76 78 88 138 148 198 208 210 258 280 286	-50270617714
SPT(14)	22828393841575717	0 16 36 54 72 82 132 184 234 244 262 280 300 316	-37221073270
STPT(10)	22828397851493489	0 2 12 14 90 92 168 170 180 182	-33211155498
SPT(14)	22828401781581001	0 30 42 60 82 102 138 160 196 216 238 256 268 298	-29281067986
SPT(14)	22828412083485661	0 16 70 76 132 142 186 202 246 256 312 318 372 388	-18979163326
SPT(14)	22828432124683459	0 30 84 112 120 130 162 172 204 214 222 250 304 334	1062034472
SPT(14)	22828435537423051	0 22 42 82 118 126 142 186 202 210 246 286 306 328	4474774064
SPT(14)	22828435800631213	0 4 30 36 64 88 90 154 156 180 208 214 240 244	4737982226
SPT(14)	22828477211986279	0 10 12 40 60 82 144 190 252 274 294 322 324 334	46149337292
SPT(14)	22828479642971273	0 36 56 96 108 120 134 150 164 176 188 228 248 284	48580322286