Prime p₀= 2865050024015126147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2865048720553769801	0 30 50 80 108 126 128 156 182 210 212 230 258 288 308 338	-1303461356346
SPT(16)	2865049130675717191	0 16 30 100 150 160 162 166 192 196 198 208 258 328 342 358	-893339408956
STPT(10)	2865049463845161557	0 2 30 32 42 44 54 56 84 86	-560169964590
SPT(16)	2865049509449729663	0 8 66 78 84 140 158 218 276 336 354 410 416 428 486 494	-514565396484
STPT(10)	2865049762900579907	0 2 42 44 72 74 102 104 144 146	-261114546240
STPT(10)	2865049982160496379	0 2 18 20 30 32 42 44 60 62	-41854629768
STPT(10)	2865050330698508471	0 2 30 32 78 80 126 128 156 158	306683382324
TPT(14)	2865050358307338821	0 2 6 8 156 158 270 272 306 308 408 410 426 428	334292212674
SPT(16)	2865051150906985561	0 16 28 70 96 100 112 178 210 276 288 292 318 360 372 388	1126891859414
STPT(10)	2865051475540938107	0 2 12 14 72 74 132 134 144 146	1451525811960
SPT(16)	2865051763573907591	0 6 32 38 50 78 116 146 162 192 230 258 270 276 302 308	1739558781444