Prime p₀= 1315881876998565311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: rlacr
db: batch=77, k=10, 2 76 2 58 2

SPT(16)	1315880443565545601	0 30 50 60 86 102 116 132 170 186 200 216 242 252 272 302	-1433433019710
TPT(14)	1315880468104406159	0 2 48 50 60 62 102 104 132 134 138 140 168 170	-1408894159152
SPT(16)	1315881166566722507	0 44 56 72 90 92 120 122 174 176 204 206 224 240 252 296	-710431842804
SPT(16)	1315881459986172043	0 4 54 90 130 138 160 196 228 264 286 294 334 370 420 424	-417012393268
SPT(16)	1315881666813696233	0 14 30 86 96 110 116 140 144 168 174 188 198 254 270 284	-210184869078
STPT(10)	1315881732617998751	0 2 6 8 18 20 30 32 36 38	-144380566560
SPT(16)	1315882461135186733	0 18 28 76 90 118 120 196 270 346 348 376 390 438 448 466	584136621422
SPT(16)	1315882812300785831	0 12 18 20 48 56 128 138 230 240 312 320 348 350 356 368	935302220520
SPT(16)	1315883264346075653	0 26 30 74 138 140 200 236 258 294 354 356 420 464 468 494	1387347510342
SPT(16)	1315883281866412733	0 8 14 48 90 104 116 140 144 168 180 194 236 270 276 284	1404867847422
SPT(16)	1315884055336383787	0 4 22 30 42 114 130 172 174 216 232 304 316 324 342 346	2178337818476