Prime p₀= 2250690478158056507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2250690055405963807	0 6 42 82 130 180 184 226 240 282 286 336 384 424 460 466	-422752092700
SPT(16)	2250690207142120531	0 30 46 88 106 118 142 162 166 186 210 222 240 282 298 328	-271015935976
SPT(16)	2250690307011950189	0 12 14 38 68 84 150 170 222 242 308 324 354 378 380 392	-171146106318
SPT(16)	2250690312514269877	0 10 130 136 172 186 210 216 220 226 250 264 300 306 426 436	-165643786630
STPT(10)	2250690317506887857	0 2 42 44 72 74 102 104 144 146	-160651168650
TPT(14)	2250690476715918311	0 2 6 8 48 50 60 62 96 98 198 200 270 272	-1442138196
STPT(10)	2250690510731132147	0 2 12 14 42 44 72 74 84 86	32573075640
SPT(16)	2250690553925673347	0 14 26 42 50 56 80 152 204 276 300 306 314 330 342 356	75767616840
SPT(16)	2250690956564994637	0 12 30 40 42 52 64 66 70 72 84 94 96 106 124 136	478406938130
STPT(10)	2250691146435669071	0 2 36 38 78 80 120 122 156 158	668277612564
SPT(16)	2250691166043857473	0 4 10 60 70 88 94 138 226 270 276 294 304 354 360 364	687885800966