Prime p₀= 2316539468582751749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: JonS
db: batch=81, k=10, 2 28 2 88 2

TPT(14)	2316538781210071421	0 2 120 122 150 152 180 182 276 278 306 308 330 332	-687372680328
STPT(10)	2316538947086330567	0 2 42 44 72 74 102 104 144 146	-521496421182
STPT(10)	2316539019821483801	0 2 36 38 78 80 120 122 156 158	-448761267948
STPT(10)	2316539128158743627	0 2 42 44 72 74 102 104 144 146	-340424008122
SPT(16)	2316539140523812441	0 18 40 42 58 66 100 108 130 138 172 180 196 198 220 238	-328058939308
SPT(16)	2316539293332860879	0 2 8 24 38 48 50 162 260 372 374 384 398 414 420 422	-175249890870
SPT(16)	2316539796610842193	0 10 30 40 46 48 54 76 108 130 136 138 144 154 174 184	328028090444
SPT(16)	2316539910114025021	0 40 60 76 82 88 90 132 136 178 180 186 192 208 228 268	441531273272
SPT(16)	2316540175225849513	0 28 30 58 78 106 124 150 154 180 198 226 246 274 276 304	706643097764
SPT(16)	2316540719948268577	0 4 30 64 82 112 184 186 190 192 264 294 312 346 372 376	1251365516828
STPT(10)	2316540750157463507	0 2 12 14 42 44 72 74 84 86	1281574711758