Prime p₀= 2954970107477297249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Landjunge
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2954969334254603167	0 6 22 46 66 94 106 124 132 150 162 190 210 234 250 256	-773222694082
STPT(10)	2954969406300921179	0 2 18 20 30 32 42 44 60 62	-701176376070
STPT(10)	2954969612670068171	0 2 6 8 48 50 90 92 96 98	-494807229078
SPT(16)	2954969843232374203	0 60 88 90 106 108 120 126 130 136 148 150 166 168 196 256	-264244923046
SPT(16)	2954969889217177589	0 38 60 62 72 104 132 164 168 200 228 260 270 272 294 332	-218260119660
STPT(10)	2954970049250528921	0 2 78 80 108 110 138 140 216 218	-58226768328
SPT(16)	2954970136528986647	0 14 24 44 56 74 102 114 152 164 192 210 222 242 252 266	29051689398
STPT(10)	2954970210498828419	0 2 18 20 60 62 102 104 120 122	103021531170
SPT(16)	2954970256117114051	0 18 22 42 78 90 102 138 160 196 208 220 256 276 280 298	148639816802
SPT(16)	2954970430609151891	0 32 72 182 198 228 312 362 408 458 542 572 588 698 738 770	323131854642
STPT(10)	2954970699241057457	0 2 30 32 102 104 174 176 204 206	591763760208