Prime p₀= 2147817331566268301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2147816699700244787	0 2 30 32 42 44 54 56 84 86	-631866023514
STPT(10)	2147816941362011741	0 2 6 8 48 50 90 92 96 98	-390204256560
SPT(16)	2147817086984448311	0 20 60 80 92 102 126 182 210 266 290 300 312 332 372 392	-244581819990
TPT(14)	2147817124937488181	0 2 60 62 78 80 90 92 126 128 168 170 210 212	-206628780120
SPT(16)	2147817139995821209	0 4 10 42 54 102 108 130 132 154 160 208 220 252 258 262	-191570447092
STPT(10)	2147817150801313037	0 2 54 56 72 74 90 92 144 146	-180764955264
STPT(10)	2147817334432865279	0 2 18 20 30 32 42 44 60 62	2866596978
SPT(16)	2147817464887413701	0 30 56 68 72 78 110 120 218 228 260 266 270 282 308 338	133321145400
SPT(16)	2147817650296365457	0 42 72 82 124 126 154 186 280 312 340 342 384 394 424 466	318730097156
SPT(16)	2147817944737781207	0 14 50 80 114 150 260 264 290 294 404 440 474 504 540 554	613171512906
STPT(10)	2147818256837211989	0 2 30 32 60 62 90 92 120 122	925270943688