Prime p₀= 2954556005121976427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2954554859512280471	0 6 20 56 72 128 146 150 188 192 210 266 282 318 332 338	-1145609695956
SPT(16)	2954555036867674879	0 22 42 60 72 88 100 130 132 162 174 190 202 220 240 262	-968254301548
SPT(16)	2954555037337540249	0 40 60 118 130 132 148 204 208 264 280 282 294 352 372 412	-967784436178
STPT(10)	2954555388195415061	0 2 30 32 78 80 126 128 156 158	-616926561366
STPT(10)	2954555833169302001	0 2 6 8 48 50 90 92 96 98	-171952674426
SPT(16)	2954555898636766013	0 14 50 66 116 144 168 174 200 206 230 258 308 324 360 374	-106485210414
STPT(10)	2954556721112279207	0 2 12 14 42 44 72 74 84 86	715990302780
TPT(14)	2954556938239033241	0 2 6 8 78 80 156 158 210 212 240 242 270 272	933117056814
SPT(16)	2954557311065931209	0 18 48 60 62 114 122 132 140 150 158 210 212 224 254 272	1305943954782
STPT(10)	2954557338340016807	0 2 30 32 72 74 114 116 144 146	1333218040380
SPT(16)	2954558192379262933	0 10 46 78 84 136 148 150 154 156 168 220 226 258 294 304	2187257286506