Prime p₀= 4387488306204822389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4387487660688692099	0 42 60 108 134 192 228 242 270 284 320 378 404 452 470 512	-645516130290
SPT(16)	4387487671681225997	0 42 90 92 132 146 186 200 246 260 300 314 354 356 404 446	-634523596392
SPT(16)	4387487924777617931	0 38 90 120 126 150 176 182 186 192 218 242 248 278 330 368	-381427204458
SPT(16)	4387488019543869179	0 30 38 42 60 80 92 98 102 108 120 140 158 162 170 200	-286660953210
TPT(14)	4387488044407048037	0 2 42 44 72 74 120 122 132 134 270 272 450 452	-261797774352
SPT(16)	4387488261865467503	0 98 104 114 120 140 188 198 320 330 378 398 404 414 420 518	-44339354886
SPT(16)	4387489304460226253	0 20 24 50 84 90 108 188 246 326 344 350 384 410 414 434	998255403864
SPT(18)	4387489378847456971	0 18 48 138 148 150 162 238 250 258 270 346 358 360 370 460 490 508	1072642634582
STPT(10)	4387489582359855287	0 2 30 32 42 44 54 56 84 86	1276155032898
STPT(10)	4387489835860986857	0 2 30 32 60 62 90 92 120 122	1529656164468
SPT(16)	4387490351567961149	0 30 32 54 144 152 168 194 198 224 240 248 338 360 362 392	2045363138760