Prime p₀= 2069650798512093491 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2069648825212728307	0 4 30 70 150 172 274 276 400 402 504 526 606 646 672 676	-1973299365184
SPT(16)	2069649262978638457	0 12 30 42 54 70 72 84 100 112 114 130 142 154 172 184	-1535533455034
STPT(10)	2069649494817221417	0 2 60 62 72 74 84 86 144 146	-1303694872074
SPT(16)	2069649505755192961	0 6 96 106 120 162 196 222 316 342 376 418 432 442 532 538	-1292756900530
TPT(14)	2069649669675760559	0 2 30 32 48 50 72 74 102 104 168 170 210 212	-1128836332932
SPT(20)	2069649993028894631	0 6 12 36 62 68 102 120 146 176 192 222 248 266 300 306 332 356 362 368	-805483198860
SPT(16)	2069651253715666589	0 20 30 44 48 68 80 108 194 222 234 254 258 272 282 302	455203573098
SPT(16)	2069651377197766847	0 2 72 114 144 156 174 206 210 242 260 272 302 344 414 416	578685673356
SPT(16)	2069651459274732139	0 52 120 210 234 240 244 268 294 318 322 328 352 442 510 562	660762638648
SPT(16)	2069651792979099631	0 30 42 46 102 120 142 148 150 156 178 196 252 256 268 298	994467006140
SPT(16)	2069651816625229471	0 10 42 48 52 126 136 148 180 192 202 276 280 286 318 328	1018113135980