Prime p₀= 2499972978339232337 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2499970793464692577	0 22 30 54 66 82 84 96 250 262 264 280 292 316 324 346	-2184874539760
STPT(10)	2499970964776505159	0 2 18 20 60 62 102 104 120 122	-2013562727178
SPT(16)	2499971274186799591	0 22 36 48 66 70 118 132 136 150 198 202 220 232 246 268	-1704152432746
SPT(16)	2499972066705188567	0 30 32 42 44 114 144 170 246 272 302 372 374 384 386 416	-911634043770
STPT(10)	2499972410497812071	0 2 6 8 48 50 90 92 96 98	-567841420266
SPT(16)	2499972864514376593	0 24 34 40 94 96 130 210 310 390 424 426 480 486 496 520	-113824855744
STPT(10)	2499973008960097841	0 2 30 32 78 80 126 128 156 158	30620865504
STPT(12)	2499973452643331387	0 2 30 32 72 74 90 92 132 134 162 164	474304099050
STPT(10)	2499973976164205909	0 2 18 20 30 32 42 44 60 62	997824973572
SPT(16)	2499973984112794613	0 6 20 36 50 84 116 120 140 144 176 210 224 240 254 260	1005773562276
SPT(16)	2499974284566210329	0 14 38 48 54 108 122 132 140 150 164 218 224 234 258 272	1306226977992