Prime p₀= 2456231555695880507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2456230998151878271	0 22 46 52 76 88 90 102 136 148 150 162 186 192 216 238	-557544002236
STPT(10)	2456231220255962027	0 2 84 86 132 134 180 182 264 266	-335439918480
SPT(16)	2456231254633771361	0 6 8 32 110 120 146 162 206 222 248 258 336 360 362 368	-301062109146
SPT(16)	2456231272656809849	0 54 60 68 78 84 90 110 168 188 194 200 210 218 224 278	-283039070658
STPT(10)	2456231458252977047	0 2 24 26 42 44 60 62 84 86	-97442903460
STPT(10)	2456231485627021307	0 2 30 32 102 104 174 176 204 206	-70068859200
STPT(10)	2456231630138487497	0 2 30 32 102 104 174 176 204 206	74442606990
SPT(16)	2456231645836224491	0 32 56 68 98 146 200 222 266 288 342 390 420 432 456 488	90140343984
SPT(16)	2456233152363049789	0 34 42 72 94 100 114 120 142 148 162 168 190 220 228 262	1596667169282
STPT(10)	2456233421507868851	0 2 36 38 78 80 120 122 156 158	1865811988344
SPT(16)	2456233460404675069	0 10 18 42 60 112 114 130 222 238 240 292 310 334 342 352	1904708794562