Prime p₀= 2156883607373683157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: Landjunge
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2156881077269151991	0 36 42 60 66 72 76 120 142 186 190 196 202 220 226 262	-2530104531166
STPT(10)	2156881735331734259	0 2 30 32 60 62 90 92 120 122	-1872041948898
SPT(16)	2156881875206122993	0 18 70 90 108 144 168 178 186 196 220 256 274 294 346 364	-1732167560164
SPT(16)	2156882337138529687	0 10 60 142 144 154 156 186 280 310 312 322 324 406 456 466	-1270235153470
TPT(14)	2156883017766700241	0 2 96 98 126 128 168 170 210 212 258 260 270 272	-589606982916
TPT(14)	2156883402383809679	0 2 72 74 150 152 222 224 282 284 348 350 360 362	-204989873478
SPT(16)	2156884006789538093	0 8 30 84 116 170 198 218 246 266 294 348 380 434 456 464	399415854936
TPT(14)	2156884008567634457	0 2 114 116 144 146 150 152 222 224 234 236 282 284	401193951300
SPT(16)	2156884381430588947	0 12 30 40 42 60 70 82 102 114 124 142 144 154 172 184	774056905790
SPT(16)	2156884517297702347	0 24 36 106 180 204 210 234 292 316 322 346 420 490 502 526	909924019190
SPT(16)	2156885061350631217	0 4 6 130 154 156 244 246 280 282 370 372 396 520 522 526	1453976948060