Prime p₀= 4387558173840327527 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

STPT(10)	4387556098986336641	0 2 30 32 78 80 126 128 156 158	-2074853990886
SPT(16)	4387556674662589091	0 6 48 86 96 180 186 206 342 362 368 452 462 500 542 548	-1499177738436
SPT(16)	4387557479029593563	0 6 14 78 80 104 116 164 270 318 330 354 356 420 428 434	-694810733964
STPT(10)	4387557493581660449	0 2 18 20 30 32 42 44 60 62	-680258667078
SPT(16)	4387557856691139671	0 66 80 90 92 98 132 168 290 326 360 366 368 378 392 458	-317149187856
SPT(16)	4387558040857379477	0 6 20 116 146 192 194 200 216 222 224 270 300 396 410 416	-132982948050
TPT(14)	4387558270793639141	0 2 30 32 90 92 156 158 198 200 210 212 228 230	96953311614
STPT(12)	4387558418122750859	0 2 42 44 132 134 198 200 288 290 330 332	244282423332
STPT(10)	4387558689112458161	0 2 30 32 78 80 126 128 156 158	515272130634
SPT(16)	4387558714903101971	0 32 80 116 128 182 266 270 308 312 396 450 462 498 546 578	541062774444
SPT(16)	4387558734141245419	0 30 40 60 64 78 120 130 138 148 190 204 208 228 238 268	560300917892