Prime p₀= 1257856910824244777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Theadalus
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1257854720564169491	0 8 30 32 86 98 110 168 170 228 240 252 306 308 330 338	-2190260075286
SPT(16)	1257854974345225159	0 4 10 28 54 70 88 94 114 120 138 154 180 198 204 208	-1936479019618
SPT(16)	1257855331843289441	0 38 56 86 110 122 126 168 260 302 306 318 342 372 390 428	-1578980955336
SPT(16)	1257856058946837793	0 78 84 114 154 156 198 210 214 226 268 270 310 340 346 424	-851877406984
SPT(16)	1257856381963421677	0 10 24 30 34 52 76 82 84 90 114 132 136 142 156 166	-528860823100
SPT(13)	1257856483310439601	0 12 18 30 78 102 120 138 162 210 222 228 240	-427513805176
TPT(16)	1257857237604708329	0 2 162 164 210 212 222 224 240 242 252 254 402 404 408 410	326780463552
SPT(18)	1257857457043886653	0 48 66 76 166 174 184 196 268 276 348 360 370 378 468 478 496 544	546219641876
SPT(16)	1257857712658634779	0 28 48 90 102 112 142 160 180 198 228 238 250 292 312 340	801834390002
STPT(10)	1257857764035010727	0 2 30 32 42 44 54 56 84 86	853210765950
STPT(10)	1257858344747407367	0 2 30 32 42 44 54 56 84 86	1433923162590