Prime p₀= 2423926632152491577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Groo
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2423924392257644363	0 14 24 48 110 164 170 198 206 234 240 294 356 380 390 404	-2239894847214
SPT(16)	2423924726146606939	0 78 88 124 130 142 154 168 244 258 270 282 288 324 334 412	-1906005884638
SPT(16)	2423925522183737317	0 6 22 54 120 124 126 142 144 160 162 166 232 264 280 286	-1109968754260
SPT(16)	2423926162214877371	0 6 18 78 150 156 186 188 270 272 302 308 380 440 452 458	-469937614206
STPT(10)	2423926435559219621	0 2 30 32 60 62 90 92 120 122	-196593271956
SPT(16)	2423926451780864453	0 14 20 54 68 98 104 128 150 174 180 210 224 258 264 278	-180371627124
SPT(16)	2423926644360116543	0 8 44 114 170 216 228 270 284 326 338 384 440 510 546 554	12207624966
STPT(10)	2423926656867399119	0 2 42 44 60 62 78 80 120 122	24714907542
SPT(16)	2423926657855989509	0 44 48 54 68 80 90 98 114 122 132 144 158 164 168 212	25703497932
SPT(16)	2423926907399808029	0 14 20 24 44 74 84 108 140 164 174 204 224 228 234 248	275247316452
STPT(10)	2423927302538872679	0 2 48 50 90 92 132 134 180 182	670386381102