Prime p₀= 2400767090397750689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2400766239382981699	0 22 64 108 118 150 154 160 162 168 172 204 214 258 300 322	-851014768990
STPT(10)	2400766437257223401	0 2 36 38 78 80 120 122 156 158	-653140527288
SPT(16)	2400766631007467027	0 50 60 104 110 120 182 200 246 264 326 336 342 386 396 446	-459390283662
SPT(16)	2400766648898052271	0 16 40 46 48 78 106 132 196 222 250 280 282 288 312 328	-441499698418
STPT(10)	2400766849540133687	0 2 30 32 42 44 54 56 84 86	-240857617002
SPT(16)	2400766859390578439	0 8 18 92 98 132 134 168 224 258 260 294 300 374 384 392	-231007172250
STPT(10)	2400767273732160197	0 2 42 44 72 74 102 104 144 146	183334409508
STPT(10)	2400767415629030057	0 2 30 32 42 44 54 56 84 86	325231279368
TPT(14)	2400767576155385387	0 2 30 32 60 62 84 86 144 146 222 224 234 236	485757634698
SPT(16)	2400767746798381487	0 20 66 86 102 132 206 252 290 336 410 440 456 476 522 542	656400630798
SPT(16)	2400768437491704691	0 28 36 46 76 78 120 126 130 136 178 180 210 220 228 256	1347093954002