Prime p₀= 1123387263347430467 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: crashtech
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1123385743040964209	0 32 48 74 80 102 120 144 188 212 230 252 258 284 300 332	-1520306466258
STPT(10)	1123386293757442457	0 2 30 32 42 44 54 56 84 86	-969589988010
STPT(10)	1123386897294224741	0 2 6 8 48 50 90 92 96 98	-366053205726
SPT(16)	1123386944397427891	0 10 16 18 52 100 112 150 178 216 228 276 310 312 318 328	-318950002576
SPT(16)	1123387084140259291	0 12 22 28 40 42 52 66 112 126 136 138 150 156 166 178	-179207171176
SPT(16)	1123387242273863387	0 14 32 36 42 74 120 146 270 296 342 374 380 384 402 416	-21073567080
SPT(16)	1123387773573143501	0 2 36 98 152 176 198 210 218 230 252 276 330 392 426 428	510225713034
STPT(10)	1123387807758710111	0 2 36 38 78 80 120 122 156 158	544411279644
SPT(16)	1123388428874559349	0 10 12 22 40 54 94 102 130 138 178 192 210 220 222 232	1165527128882
SPT(16)	1123388642380280357	0 30 60 90 96 116 134 176 264 306 324 344 350 380 410 440	1379032849890
SPT(16)	1123388723537447413	0 4 78 124 148 198 210 330 334 454 466 516 540 586 660 664	1460190016946