Prime p₀= 4044853347088173671 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=84, k=10, 2 4 2 10 2

SPT(16)	4044852419759199619	0 28 30 58 84 124 142 154 168 180 198 238 264 292 294 322	-927328974052
TPT(14)	4044852538576188791	0 2 6 8 48 50 60 62 126 128 138 140 156 158	-808511984880
STPT(10)	4044852596497578989	0 2 12 14 30 32 48 50 60 62	-750590594682
STPT(10)	4044852602588668691	0 2 6 8 18 20 30 32 36 38	-744499504980
STPT(10)	4044852957745909427	0 2 24 26 42 44 60 62 84 86	-389342264244
SPT(16)	4044853216072938991	0 18 30 36 42 52 66 100 108 142 156 166 172 178 190 208	-131015234680
TPT(14)	4044853549602060749	0 2 138 140 180 182 222 224 288 290 378 380 420 422	202513887078
SPT(16)	4044853596244472021	0 2 62 66 132 138 140 170 258 288 290 296 362 366 426 428	249156298350
SPT(16)	4044854005514085451	0 6 10 58 88 100 108 160 168 220 228 240 270 318 322 328	658425911780
STPT(10)	4044854401557676697	0 2 42 44 72 74 102 104 144 146	1054469503026
SPT(16)	4044854430627039187	0 12 30 60 64 70 100 112 114 126 156 162 166 196 214 226	1083538865516