Prime p₀= 2913237505884348257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2913235092728077501	0 40 60 70 72 88 90 108 160 178 180 196 198 208 228 268	-2413156270756
STPT(10)	2913235741076397167	0 2 54 56 72 74 90 92 144 146	-1764807951090
STPT(10)	2913236345296717439	0 2 18 20 30 32 42 44 60 62	-1160587630818
SPT(16)	2913236405512121543	0 44 78 98 116 138 158 186 218 246 266 288 306 326 360 404	-1100372226714
STPT(10)	2913236553960913721	0 2 30 32 78 80 126 128 156 158	-951923434536
STPT(10)	2913236979885722387	0 2 30 32 102 104 174 176 204 206	-525998625870
SPT(16)	2913237585767248799	0 2 54 68 72 78 90 122 180 212 224 230 234 248 300 302	79882900542
TPT(14)	2913238104909755591	0 2 36 38 48 50 78 80 90 92 276 278 330 332	599025407334
SPT(16)	2913238448611577951	0 18 36 56 102 126 156 170 228 242 272 296 342 362 380 398	942727229694
SPT(16)	2913238543722847099	0 64 88 102 144 148 162 190 222 250 264 268 310 324 348 412	1037838498842
TPT(14)	2913238820933561567	0 2 30 32 54 56 72 74 192 194 234 236 264 266	1315049213310