Prime p₀= 3000794675134674797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: modesti
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3000793529581304629	0 12 18 60 120 222 238 240 340 342 358 460 520 562 568 580	-1145553370168
SPT(16)	3000793647401805043	0 18 24 40 84 88 90 94 204 208 210 214 258 274 280 298	-1027732869754
STPT(10)	3000793826065634231	0 2 6 8 48 50 90 92 96 98	-849069040566
SPT(16)	3000793929374675363	0 56 96 114 128 138 194 200 294 300 356 366 380 398 438 494	-745759999434
SPT(16)	3000794073708345427	0 10 84 94 102 126 130 162 184 216 220 244 252 262 336 346	-601426329370
STPT(10)	3000794402730653699	0 2 18 20 30 32 42 44 60 62	-272404021098
SPT(16)	3000794939294881441	0 12 16 48 60 70 72 130 138 196 198 208 220 252 256 268	264160206644
SPT(16)	3000795125434218641	0 26 36 72 110 128 138 140 198 200 210 228 266 302 312 338	450299543844
TPT(14)	3000795694920569849	0 2 42 44 78 80 162 164 210 212 372 374 378 380	1019785895052
SPT(16)	3000795986089456559	0 14 42 90 92 114 140 144 170 174 200 222 224 272 300 314	1310954781762
STPT(10)	3000796058684678069	0 2 12 14 30 32 48 50 60 62	1383550003272