Prime p₀= 4387606836351033467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	4387604346163161979	0 34 52 70 78 84 150 162 190 202 268 274 282 300 318 352	-2490187871488
SPT(16)	4387605482556686813	0 20 30 80 98 150 168 176 210 218 236 288 306 356 366 386	-1353794346654
STPT(10)	4387605613721530547	0 2 12 14 42 44 72 74 84 86	-1222629502920
SPT(16)	4387606057074329143	0 88 126 130 136 138 220 228 256 264 346 348 354 358 396 484	-779276704324
STPT(12)	4387606466128028159	0 2 30 32 42 44 78 80 90 92 120 122	-370223005308
SPT(16)	4387606679302800557	0 24 62 80 104 114 134 140 156 162 182 192 216 234 272 296	-157048232910
SPT(16)	4387607226318098231	0 26 98 138 152 182 198 218 270 290 306 336 350 390 462 488	389967064764
STPT(10)	4387607480827032557	0 2 30 32 42 44 54 56 84 86	644475999090
SPT(16)	4387607711950919207	0 36 56 86 170 204 264 306 404 446 506 540 624 654 674 710	875599885740
STPT(10)	4387607745736758857	0 2 30 32 72 74 114 116 144 146	909385725390
SPT(16)	4387608680308509589	0 40 82 120 142 148 174 204 238 268 294 300 322 360 402 442	1843957476122