Prime p₀= 1295741572202790467 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: Cruncher Pete
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1295740577361021191	0 8 26 32 50 56 66 80 138 152 162 168 186 192 210 218	-994841769276
SPT(16)	1295740690723757009	0 30 32 42 84 128 222 228 254 260 354 398 440 450 452 482	-881479033458
SPT(13)	1295740722925223423	0 6 18 60 78 120 168 216 258 276 318 330 336	-849277567044
SPT(16)	1295740769064793861	0 12 36 60 96 108 162 168 190 196 250 262 298 322 346 358	-803137996606
SPT(16)	1295741363807641183	0 46 70 76 124 130 144 154 156 166 180 186 234 240 264 310	-208395149284
SPT(16)	1295741545742436137	0 14 20 44 56 102 122 164 192 234 254 300 312 336 342 356	-26460354330
SPT(16)	1295741788015607717	0 26 44 120 134 156 170 176 324 330 344 366 380 456 474 500	215812817250
STPT(10)	1295742020764096229	0 2 18 20 30 32 42 44 60 62	448561305762
SPT(16)	1295742168592778279	0 18 24 32 44 50 60 104 228 272 282 288 300 308 314 332	596389987812
SPT(16)	1295742276500865497	0 12 42 62 90 104 110 126 260 276 282 296 324 344 374 386	704298075030
SPT(16)	1295742612978650059	0 28 40 48 60 88 94 124 138 168 174 202 214 222 234 262	1040775859592