Prime p₀= 2456231485627021307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: JayPi
db: batch=82, k=10, 2 28 2 70 2

SPT(16)	2456230749803788891	0 22 58 70 90 148 162 222 226 286 300 358 378 390 426 448	-735823232416
SPT(16)	2456230998151878271	0 22 46 52 76 88 90 102 136 148 150 162 186 192 216 238	-487475143036
STPT(10)	2456231220255962027	0 2 84 86 132 134 180 182 264 266	-265371059280
SPT(16)	2456231254633771361	0 6 8 32 110 120 146 162 206 222 248 258 336 360 362 368	-230993249946
SPT(16)	2456231272656809849	0 54 60 68 78 84 90 110 168 188 194 200 210 218 224 278	-212970211458
STPT(10)	2456231458252977047	0 2 24 26 42 44 60 62 84 86	-27374044260
STPT(10)	2456231555695880507	0 2 30 32 42 44 54 56 84 86	70068859200
STPT(10)	2456231630138487497	0 2 30 32 102 104 174 176 204 206	144511466190
SPT(16)	2456231645836224491	0 32 56 68 98 146 200 222 266 288 342 390 420 432 456 488	160209203184
SPT(16)	2456233152363049789	0 34 42 72 94 100 114 120 142 148 162 168 190 220 228 262	1666736028482
STPT(10)	2456233421507868851	0 2 36 38 78 80 120 122 156 158	1935880847544