Prime p₀= 2117791253139142949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2117790362133248219	0 2 18 20 30 32 42 44 60 62	-891005894730
SPT(16)	2117790409803079463	0 8 96 128 140 194 200 228 236 264 270 324 336 368 456 464	-843336063486
STPT(12)	2117790464912153747	0 2 42 44 60 62 84 86 102 104 144 146	-788226989202
STPT(10)	2117790510479276597	0 2 30 32 42 44 54 56 84 86	-742659866352
SPT(16)	2117791067272663231	0 16 18 36 60 82 126 130 138 142 186 208 232 250 252 268	-185866479718
SPT(16)	2117791186499042071	0 40 42 66 90 96 108 162 166 220 232 238 262 286 288 328	-66640100878
SPT(16)	2117791293099498253	0 6 34 58 96 100 108 150 184 226 234 238 276 300 328 334	39960355304
STPT(10)	2117791304848869071	0 2 36 38 78 80 120 122 156 158	51709726122
SPT(16)	2117791326298108007	0 30 42 56 66 74 96 122 144 170 192 200 210 224 236 266	73158965058
SPT(16)	2117791553361935599	0 40 58 84 124 130 142 150 172 180 192 198 238 264 282 322	300222792650
STPT(10)	2117792055864006161	0 2 6 8 48 50 90 92 96 98	802724863212