Prime p₀= 2123364654028199201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: gemini8
db: batch=80, k=10, 2 4 2 40 2

SPT(16)	2123363761412061893	0 8 20 30 50 96 110 114 200 204 218 264 284 294 306 314	-892616137308
SPT(16)	2123363883252121849	0 84 94 132 150 154 198 240 262 304 348 352 370 408 418 502	-770776077352
STPT(10)	2123363926941857021	0 2 36 38 78 80 120 122 156 158	-727086342180
STPT(10)	2123364126341840927	0 2 30 32 42 44 54 56 84 86	-527686358274
SPT(16)	2123364301116017621	0 6 36 50 90 96 110 116 120 126 140 146 186 200 230 236	-352912181580
SPT(16)	2123364643141372247	0 2 26 60 92 122 134 162 284 312 324 354 386 420 444 446	-10886826954
SPT(16)	2123364681294145747	0 40 42 54 64 82 120 150 154 184 222 240 250 262 264 304	27265946546
SPT(16)	2123364941493632861	0 56 120 122 128 138 168 176 282 290 320 330 336 338 402 458	287465433660
SPT(16)	2123365402527019159	0 10 18 48 78 84 148 150 172 174 238 244 274 304 312 322	748498819958
SPT(16)	2123366103432924731	0 30 62 78 98 120 140 218 252 330 350 372 392 408 440 470	1449404725530
SPT(16)	2123366893273096411	0 6 42 66 72 90 136 142 150 156 202 220 226 250 286 292	2239244897210