Prime p₀= 3022312127671478729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 10 2 10 2 136 2 (?)
a_n: 0 2 138 140 150 152 162 164 300 302
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: 302
Found by: JayPi
db: batch=82, k=10, 2 136 2 10 2

SPT(16)	3022311077031953227	0 6 10 42 94 120 124 132 154 162 166 192 244 276 280 286	-1050639525502
SPT(16)	3022311162401126017	0 10 16 24 42 52 66 102 154 190 204 214 232 240 246 256	-965270352712
SPT(18)	3022311208191864863	0 18 30 80 98 120 158 164 234 260 330 336 374 396 414 464 476 494	-919479613866
SPT(16)	3022311256504723753	0 40 108 118 124 138 174 190 264 280 316 330 336 346 414 454	-871166754976
STPT(10)	3022311291975448157	0 2 24 26 42 44 60 62 84 86	-835696030572
SPT(16)	3022311496954333159	0 4 10 30 64 174 202 214 258 270 298 408 442 462 468 472	-630717145570
STPT(12)	3022312481050059011	0 2 36 38 48 50 78 80 90 92 126 128	353378580282
SPT(16)	3022312494607934597	0 2 114 116 132 144 192 240 266 314 362 374 390 392 504 506	366936455868
TPT(14)	3022312792927228709	0 2 60 62 102 104 138 140 228 230 240 242 252 254	665255749980
SPT(16)	3022313256757932581	0 20 26 38 42 110 120 188 210 278 288 356 360 372 378 398	1129086453852
SPT(16)	3022313590632256913	0 18 54 56 80 98 104 110 144 150 156 174 198 200 236 254	1462960778184