Prime p₀= 1013381887978811171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1013380770745289803	0 48 64 90 108 138 154 168 190 204 220 250 268 294 310 358	-1117233521368
SPT(16)	1013380961827651007	0 62 66 92 156 210 216 224 282 290 296 350 414 440 444 506	-926151160164
TPT(14)	1013381010133158941	0 2 138 140 198 200 336 338 366 368 378 380 390 392	-877845652230
SPT(16)	1013381247978795119	0 8 50 90 102 120 132 144 218 230 242 260 272 312 354 362	-640000016052
SPT(16)	1013381718326947087	0 10 52 82 130 150 174 252 304 382 406 426 474 504 546 556	-169651864084
STPT(10)	1013381842539240191	0 2 6 8 108 110 210 212 216 218	-45439570980
SPT(16)	1013382126867090317	0 2 42 44 56 102 110 134 162 186 194 240 252 254 294 296	238888279146
SPT(16)	1013382441020526947	0 42 60 62 66 80 84 90 116 122 126 140 144 146 164 206	553041715776
SPT(16)	1013382550276683239	0 20 42 44 90 108 122 168 254 300 314 332 378 380 402 422	662297872068
STPT(10)	1013382631520281457	0 2 30 32 42 44 54 56 84 86	743541470286
SPT(16)	1013382762923600837	0 6 20 32 110 140 146 152 264 270 276 306 384 396 410 416	874944789666