Prime p₀= 1667479825591513691 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: Time_Traveler
db: batch=79, k=10, 2 4 2 10 2

SPT(16)	1667479172032138561	0 6 12 70 132 162 210 250 288 328 376 406 468 526 532 538	-653559375130
STPT(10)	1667479355443252361	0 2 6 8 48 50 90 92 96 98	-470148261330
SPT(16)	1667479526338829821	0 10 36 48 52 78 102 172 216 286 310 336 340 352 378 388	-299252683870
SPT(16)	1667479543899329201	0 30 32 38 56 62 66 90 98 122 126 132 150 156 158 188	-281692184490
TPT(16)	1667479581134107859	0 2 42 44 72 74 108 110 138 140 198 200 240 242 252 254	-244457405832
SPT(16)	1667479620339661363	0 28 88 118 120 144 148 154 174 180 184 208 210 240 300 328	-205251852328
STPT(10)	1667480075091669647	0 2 12 14 42 44 72 74 84 86	249500155956
SPT(20)	1667480181038358881	0 32 42 62 68 90 140 200 230 252 416 438 468 528 578 600 606 626 636 668	355446845190
SPT(16)	1667480624806463561	0 2 42 132 182 210 216 240 248 272 278 306 356 446 486 488	799214949870
SPT(16)	1667480962690954561	0 12 42 66 76 96 120 132 196 208 232 252 262 286 316 328	1137099440870
SPT(16)	1667481089073451367	0 30 62 80 104 134 146 150 266 270 282 312 336 354 386 416	1263481937676