Prime p₀= 3021021171743574911 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: Alnitak2019
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3021019919368545779	0 32 54 68 102 168 182 270 362 450 464 530 564 578 600 632	-1252375029132
STPT(10)	3021019976815515971	0 2 6 8 18 20 30 32 36 38	-1194928058940
SPT(16)	3021020690393006729	0 30 42 50 74 110 114 128 294 308 312 348 372 380 392 422	-481350568182
SPT(16)	3021020822862050959	0 10 40 58 84 124 130 144 178 192 198 238 264 282 312 322	-348881523952
SPT(16)	3021021065713375423	0 66 70 84 88 96 138 144 160 166 208 216 220 234 238 304	-106030199488
SPT(16)	3021021159195984391	0 12 40 100 142 156 192 198 250 256 292 306 348 408 436 448	-12547590520
SPT(16)	3021022200075829283	0 6 26 38 50 78 96 140 144 188 206 234 246 258 278 284	1028332254372
SPT(16)	3021022297822495441	0 12 18 40 48 66 88 126 142 180 202 220 228 250 256 268	1126078920530
TPT(14)	3021022569359353541	0 2 6 8 36 38 90 92 138 140 306 308 336 338	1397615778630
SPT(16)	3021022785829676339	0 38 74 78 92 110 200 210 242 252 342 360 374 378 414 452	1614086101428
TPT(14)	3021022843574501837	0 2 42 44 54 56 192 194 240 242 264 266 282 284	1671830926926