Prime p₀= 3000796058684678069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: modesti
db: batch=82, k=10, 2 10 2 16 2

STPT(10)	3000794402730653699	0 2 18 20 30 32 42 44 60 62	-1655954024370
STPT(10)	3000794675134674797	0 2 30 32 42 44 54 56 84 86	-1383550003272
SPT(16)	3000794939294881441	0 12 16 48 60 70 72 130 138 196 198 208 220 252 256 268	-1119389796628
SPT(16)	3000795125434218641	0 26 36 72 110 128 138 140 198 200 210 228 266 302 312 338	-933250459428
TPT(14)	3000795694920569849	0 2 42 44 78 80 162 164 210 212 372 374 378 380	-363764108220
SPT(16)	3000795986089456559	0 14 42 90 92 114 140 144 170 174 200 222 224 272 300 314	-72595221510
STPT(10)	3000796267037350667	0 2 30 32 42 44 54 56 84 86	208352672598
STPT(10)	3000796428008234699	0 2 18 20 30 32 42 44 60 62	369323556630
SPT(16)	3000796776125708101	0 10 42 48 112 120 178 232 246 300 358 366 430 436 468 478	717441030032
SPT(16)	3000797357084106253	0 60 90 108 120 126 150 156 190 196 220 226 238 256 286 346	1298399428184
STPT(10)	3000797624514530921	0 2 66 68 108 110 150 152 216 218	1565829852852