Prime p₀= 2161463299631706137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2161460586878496481	0 12 78 88 96 138 160 162 166 168 190 232 240 250 316 328	-2712753209656
STPT(10)	2161460980307765837	0 2 30 32 42 44 54 56 84 86	-2319323940300
STPT(10)	2161461591169387457	0 2 30 32 42 44 54 56 84 86	-1708462318680
SPT(16)	2161462716503434283	0 114 128 146 150 174 176 186 188 198 200 224 228 246 260 374	-583128271854
SPT(16)	2161463089013129791	0 10 16 36 42 58 66 70 108 112 120 136 142 162 168 178	-210618576346
TPT(14)	2161463139585405911	0 2 48 50 66 68 78 80 90 92 300 302 318 320	-160046300226
SPT(16)	2161463349689933977	0 24 30 102 150 156 240 270 286 316 400 406 454 526 532 556	50058227840
SPT(16)	2161463523288548189	0 2 18 32 42 72 102 128 144 170 200 230 240 254 270 272	223656842052
STPT(10)	2161463849533575857	0 2 90 92 132 134 174 176 264 266	549901869720
STPT(10)	2161463927050203899	0 2 12 14 30 32 48 50 60 62	627418497762
STPT(10)	2161464150029410451	0 2 36 38 78 80 120 122 156 158	850397704314