Prime p₀= 749311041182147177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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]steini
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	749309984762018903	0 18 26 56 60 108 138 146 150 158 188 236 240 270 278 296	-1056420128274
SPT(16)	749310014759342177	0 14 26 30 92 120 182 192 224 234 296 324 386 390 402 416	-1026422805000
TPT(14)	749310164926069301	0 2 18 20 78 80 90 92 126 128 156 158 228 230	-876256077876
SPT(16)	749310298705013251	0 6 16 40 66 72 90 112 120 142 160 166 192 216 226 232	-742477133926
SPT(16)	749310728469009697	0 46 60 96 106 112 126 172 180 226 240 246 256 292 306 352	-312713137480
TPT(14)	749310978757400459	0 2 12 14 30 32 138 140 162 164 240 242 462 464	-62424746718
STPT(10)	749311128856797779	0 2 18 20 30 32 42 44 60 62	87674650602
TPT(14)	749311754816701157	0 2 72 74 132 134 174 176 222 224 264 266 300 302	713634553980
SPT(18)	749311949634409937	0 14 20 42 54 80 86 132 144 152 164 210 216 242 254 276 282 296	908452262760
STPT(10)	749311981583976659	0 2 30 32 60 62 90 92 120 122	940401829482
STPT(10)	749311988712578297	0 2 30 32 42 44 54 56 84 86	947530431120