Prime p₀= 1006204899408626129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG]ATA-Rolf
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1006203874784324987	0 2 12 24 26 30 44 84 182 222 236 240 242 254 264 266	-1024624301142
SPT(16)	1006204141726399951	0 10 18 58 66 70 90 168 268 346 366 370 378 418 426 436	-757682226178
SPT(16)	1006204657433587151	0 38 42 50 72 78 92 96 152 156 170 176 198 206 210 248	-241975038978
SPT(16)	1006204746119200553	0 24 56 90 120 230 260 290 300 330 360 470 500 534 566 590	-153289425576
SPT(16)	1006204766916082309	0 64 78 90 94 132 162 228 244 310 340 378 382 394 408 472	-132492543820
SPT(16)	1006204885193851201	0 6 22 40 66 70 78 132 196 250 258 262 288 306 322 328	-14214774928
SPT(13)	1006204971313103647	0 72 114 150 180 192 222 252 264 294 330 372 444	71904477518
SPT(18)	1006205082146478371	0 42 68 120 126 192 236 276 300 308 332 372 416 482 488 540 566 608	182737852242
TPT(14)	1006205271903870761	0 2 6 8 48 50 60 62 246 248 258 260 288 290	372495244632
SPT(16)	1006205397206121887	0 32 54 66 146 192 216 246 290 320 344 390 470 482 504 536	497797495758
SPT(16)	1006206256343015939	0 2 12 44 78 120 128 164 168 204 212 254 288 320 330 332	1356934389810