Prime p₀= 2532458786551206389 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: Penguin
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2532457108822157603	0 36 78 80 104 114 144 186 188 230 260 270 294 296 338 374	-1677729048786
SPT(16)	2532457631081578093	0 4 6 10 66 76 84 90 124 130 138 148 204 208 210 214	-1155469628296
SPT(16)	2532457704592507597	0 16 66 96 126 136 142 174 202 234 240 250 280 310 360 376	-1081958698792
SPT(16)	2532458194634427049	0 4 18 42 78 124 154 180 232 258 288 334 370 394 408 412	-591916779340
SPT(16)	2532458278118135987	0 42 50 92 110 116 120 126 146 152 156 162 180 222 230 272	-508433070402
STPT(10)	2532458510159178659	0 2 42 44 60 62 78 80 120 122	-276392027730
SPT(16)	2532458928218095013	0 14 18 30 90 128 168 210 218 260 300 338 398 410 414 428	141666888624
SPT(16)	2532458978337883247	0 2 14 42 60 72 102 134 210 242 272 284 302 330 342 344	191786676858
STPT(10)	2532459167419090067	0 2 54 56 72 74 90 92 144 146	380867883678
SPT(16)	2532459585810021353	0 24 38 56 78 104 126 146 168 188 210 236 258 276 290 314	799258814964
STPT(10)	2532459974701706219	0 2 18 20 30 32 42 44 60 62	1188150499830