Prime p₀= 1253029018486990247 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1253027720158737203	0 38 116 140 150 206 228 246 248 266 288 344 354 378 456 494	-1298328253044
SPT(16)	1253027830516740871	0 36 40 52 76 88 196 246 262 312 420 432 456 468 472 508	-1187970249376
SPT(16)	1253027915734337707	0 40 42 66 72 96 112 154 222 264 280 304 310 334 336 376	-1102752652540
SPT(16)	1253028264376229723	0 26 44 84 104 110 120 144 170 194 204 210 230 270 288 314	-754110760524
STPT(10)	1253028473579547407	0 2 30 32 42 44 54 56 84 86	-544907442840
SPT(16)	1253028750528093067	0 6 42 64 70 96 102 124 162 184 190 216 222 244 280 286	-267958897180
STPT(10)	1253029251480667481	0 2 6 8 18 20 30 32 36 38	232993677234
SPT(16)	1253029275032440933	0 10 48 76 114 144 156 180 214 238 250 280 318 346 384 394	256545450686
SPT(16)	1253029394502389039	0 8 18 32 42 48 60 68 84 92 104 110 120 134 144 152	376015398792
STPT(10)	1253029492422661097	0 2 42 44 72 74 102 104 144 146	473935670850
STPT(10)	1253029871932735607	0 2 12 14 42 44 72 74 84 86	853445745360