Prime p₀= 2623041989519980109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2623040176149616921	0 10 22 40 78 126 136 148 180 192 202 250 288 306 318 328	-1813370363188
TPT(14)	2623040186120802647	0 2 12 14 42 44 90 92 222 224 264 266 300 302	-1803399177462
SPT(16)	2623040301021615841	0 10 18 46 58 72 78 112 186 220 226 240 252 280 288 298	-1688498364268
STPT(10)	2623041267372609869	0 2 30 32 60 62 90 92 120 122	-722147370240
STPT(12)	2623041545103549497	0 2 30 32 90 92 210 212 270 272 300 302	-444416430612
SPT(16)	2623041914195430527	0 30 42 62 104 150 164 174 182 192 206 252 294 314 326 356	-75324549582
SPT(16)	2623042271379265751	0 2 36 42 66 116 126 138 140 152 162 212 236 242 276 278	281859285642
SPT(16)	2623043717221886867	0 54 84 110 132 140 150 210 254 314 324 332 354 380 410 464	1727701906758
SPT(16)	2623044532740705389	0 24 38 134 158 164 192 200 252 260 288 294 318 414 428 452	2543220725280
SPT(16)	2623044620272586233	0 40 48 54 58 76 120 124 150 154 198 216 220 226 234 274	2630752606124
SPT(16)	2623044765550168423	0 28 70 154 178 226 234 246 268 280 288 336 360 444 486 514	2776030188314