Prime p₀= 2508807354875184239 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: Hightower
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2508804752733565241	0 20 26 36 50 86 90 116 156 182 186 222 236 246 252 272	-2602141618998
STPT(10)	2508805501914752861	0 2 6 8 18 20 30 32 36 38	-1852960431378
SPT(16)	2508806339179833871	0 28 58 70 76 112 132 166 192 226 246 282 288 300 330 358	-1015695350368
SPT(16)	2508806435902618277	0 2 56 84 90 122 132 140 306 314 324 356 362 390 444 446	-918972565962
STPT(10)	2508806550586431617	0 2 30 32 42 44 54 56 84 86	-804288752622
SPT(16)	2508807076698101843	0 20 44 56 74 96 114 126 158 170 188 210 228 240 264 284	-278177082396
STPT(10)	2508807567571687139	0 2 18 20 30 32 42 44 60 62	212696502900
SPT(16)	2508807595156298669	0 140 158 162 168 188 198 228 242 272 282 302 308 312 330 470	240281114430
SPT(16)	2508807776087876371	0 28 52 70 82 120 132 136 192 196 208 246 258 276 300 328	421212692132
SPT(16)	2508808317586099759	0 40 54 60 70 84 90 130 132 172 178 192 202 208 222 262	962710915520
STPT(10)	2508808487308754927	0 2 72 74 102 104 132 134 204 206	1132433570688