Prime p₀= 2802368672497598297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2802366799079240219	0 2 38 50 74 98 114 140 222 248 264 288 312 324 360 362	-1873418358078
STPT(10)	2802367314524324681	0 2 120 122 138 140 156 158 276 278	-1357973273616
SPT(16)	2802367468252928239	0 24 28 34 42 48 100 114 178 192 244 250 258 264 268 292	-1204244670058
SPT(16)	2802367511259193727	0 12 54 134 146 150 156 182 204 230 236 240 252 332 374 386	-1161238404570
SPT(16)	2802368102664592843	0 16 30 34 54 64 66 124 150 208 210 220 240 244 258 274	-569833005454
STPT(10)	2802368588703598877	0 2 30 32 42 44 54 56 84 86	-83793999420
SPT(16)	2802368917028154517	0 10 46 136 180 186 192 250 252 310 316 322 366 456 492 502	244530556220
SPT(16)	2802369015814294859	0 32 38 44 80 108 128 132 140 144 164 192 228 234 240 272	343316696562
STPT(10)	2802369451797630677	0 2 30 32 42 44 54 56 84 86	779300032380
SPT(16)	2802369901059242377	0 10 120 132 162 166 190 204 322 336 360 364 394 406 516 526	1228561644080
STPT(10)	2802369980179672499	0 2 42 44 60 62 78 80 120 122	1307682074202