Prime p₀= 4387505603711992427 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: [SG]KidDoesCrunch
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4387503732681102893	0 90 104 114 116 150 168 234 290 356 374 408 410 420 434 524	-1871030889534
SPT(16)	4387504089218955751	0 12 16 28 36 40 46 48 70 72 78 82 90 102 106 118	-1514493036676
STPT(10)	4387504623411344387	0 2 30 32 42 44 54 56 84 86	-980300648040
STPT(10)	4387505142996338681	0 2 36 38 108 110 180 182 216 218	-460715653746
SPT(16)	4387505181254518483	0 6 24 28 30 94 144 196 198 250 300 364 366 370 388 394	-422457473944
SPT(16)	4387505489668879033	0 4 24 66 78 100 144 210 334 400 444 466 478 520 540 544	-114043113394
SPT(16)	4387506056570532473	0 54 68 138 158 198 224 230 264 270 296 336 356 426 440 494	452858540046
TPT(14)	4387506103514095337	0 2 12 14 114 116 180 182 240 242 282 284 360 362	499802102910
STPT(10)	4387506601209346187	0 2 24 26 42 44 60 62 84 86	997497353760
STPT(10)	4387506635708325329	0 2 12 14 90 92 168 170 180 182	1031996332902
SPT(16)	4387506724870977677	0 6 162 180 204 254 266 270 296 300 312 362 386 404 560 566	1121158985250