Prime p₀= 2124963807132518069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 46 2 40 2

STPT(10)	2124961924892846717	0 2 30 32 42 44 54 56 84 86	-1882239671352
TPT(14)	2124961936097631509	0 2 30 32 102 104 132 134 222 224 240 242 270 272	-1871034886560
SPT(16)	2124962011599049823	0 30 50 56 84 90 114 116 144 146 170 176 204 210 230 260	-1795533468246
STPT(10)	2124962616306509387	0 2 72 74 102 104 132 134 204 206	-1190826008682
SPT(16)	2124962789875607021	0 8 30 72 96 126 140 146 162 168 182 212 236 278 300 308	-1017256911048
STPT(10)	2124963744139684211	0 2 30 32 78 80 126 128 156 158	-62992833858
SPT(18)	2124963866311395997	0 4 10 16 60 72 82 94 112 114 132 144 154 166 210 216 222 226	59178877928
STPT(10)	2124963869893349081	0 2 36 38 78 80 120 122 156 158	62760831012
STPT(10)	2124964182480862769	0 2 12 14 90 92 168 170 180 182	375348344700
SPT(16)	2124964302970801231	0 16 52 88 142 196 252 258 280 286 342 396 450 486 522 538	495838283162
STPT(10)	2124964933363087589	0 2 42 44 90 92 138 140 180 182	1126230569520