Prime p₀= 1951516764009337697 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(13)	1951514773838514317	0 24 30 54 72 90 132 174 192 210 234 240 264	-1990170823380
STPT(10)	1951515205157851481	0 2 30 32 78 80 126 128 156 158	-1558851486216
SPT(16)	1951515212550050989	0 10 22 58 84 114 118 174 178 234 238 268 294 330 342 352	-1551459286708
SPT(16)	1951515248138600447	0 2 56 146 210 216 234 312 314 392 410 416 480 570 624 626	-1515870737250
STPT(10)	1951515614370209087	0 2 30 32 72 74 114 116 144 146	-1149639128610
STPT(10)	1951515969024374297	0 2 30 32 42 44 54 56 84 86	-794984963400
TPT(14)	1951516891305759761	0 2 96 98 126 128 168 170 228 230 240 242 258 260	127296422064
SPT(16)	1951517004699814117	0 30 112 114 142 144 154 172 192 210 220 222 250 252 334 364	240690476420
STPT(10)	1951517112899156321	0 2 30 32 78 80 126 128 156 158	348889818624
STPT(10)	1951517198332570571	0 2 66 68 108 110 150 152 216 218	434323232874
SPT(16)	1951517411976056761	0 16 30 36 82 88 100 148 180 228 240 246 292 298 312 328	647966719064