Prime p₀= 3011937785169976499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: fake
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	3011936590781682209	0 32 50 84 104 114 128 132 170 174 188 198 218 252 270 302	-1194388294290
TPT(14)	3011936670229892729	0 2 18 20 30 32 78 80 102 104 210 212 282 284	-1114940083770
SPT(16)	3011936793202146317	0 14 30 36 56 60 92 146 210 264 296 300 320 326 342 356	-991967830182
STPT(10)	3011936896298001557	0 2 30 32 72 74 114 116 144 146	-888871974942
SPT(16)	3011937542700640937	0 32 62 74 122 144 162 182 252 272 290 312 360 372 402 434	-242469335562
SPT(16)	3011937620774973799	0 10 34 42 54 60 72 84 100 112 124 130 142 150 174 184	-164395002700
SPT(16)	3011937965544578101	0 10 16 58 78 96 148 150 208 210 262 280 300 342 348 358	180374601602
SPT(18)	3011938027992245621	0 78 122 126 152 168 170 188 198 230 240 258 260 276 302 306 350 428	242822269122
TPT(14)	3011938164499622999	0 2 12 14 60 62 90 92 102 104 222 224 252 254	379329646500
STPT(10)	3011938189730353727	0 2 30 32 42 44 54 56 84 86	404560377228
SPT(16)	3011938669234790461	0 36 40 46 88 96 108 118 138 148 160 168 210 216 220 256	884064813962