Prime p₀= 2025977579823566231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 28 2 46 2

STPT(10)	2025976741298464607	0 2 42 44 72 74 102 104 144 146	-838525101624
TPT(14)	2025977141935100657	0 2 30 32 120 122 132 134 144 146 240 242 354 356	-437888465574
TPT(14)	2025977174970452189	0 2 12 14 78 80 192 194 300 302 342 344 402 404	-404853114042
SPT(16)	2025977215419241697	0 30 32 44 72 84 116 144 182 210 242 254 282 294 296 326	-364404324534
SPT(16)	2025977421978494381	0 20 38 68 80 96 108 116 132 140 152 168 180 210 228 248	-157845071850
SPT(16)	2025977511827821301	0 8 12 78 102 120 182 192 338 348 410 428 452 518 522 530	-67995744930
STPT(10)	2025977768759655479	0 2 18 20 30 32 42 44 60 62	188936089248
STPT(10)	2025977790745995209	0 2 48 50 90 92 132 134 180 182	210922428978
SPT(16)	2025977960151832109	0 12 20 54 122 150 152 174 230 252 254 282 350 384 392 404	380328265878
SPT(16)	2025978009104159783	0 60 96 116 126 170 200 228 236 264 294 338 348 368 404 464	429280593552
STPT(10)	2025978016226477837	0 2 30 32 42 44 54 56 84 86	436402911606