Prime p₀= 2400766849540133687 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2400765822088526999	0 2 42 44 120 122 198 200 240 242	-1027451606688
STPT(10)	2400766153744868669	0 2 48 50 90 92 132 134 180 182	-695795265018
SPT(16)	2400766239382981699	0 22 64 108 118 150 154 160 162 168 172 204 214 258 300 322	-610157151988
STPT(10)	2400766437257223401	0 2 36 38 78 80 120 122 156 158	-412282910286
SPT(16)	2400766631007467027	0 50 60 104 110 120 182 200 246 264 326 336 342 386 396 446	-218532666660
SPT(16)	2400766648898052271	0 16 40 46 48 78 106 132 196 222 250 280 282 288 312 328	-200642081416
SPT(16)	2400766859390578439	0 8 18 92 98 132 134 168 224 258 260 294 300 374 384 392	9850444752
STPT(10)	2400767090397750689	0 2 18 20 30 32 42 44 60 62	240857617002
STPT(10)	2400767273732160197	0 2 42 44 72 74 102 104 144 146	424192026510
STPT(10)	2400767415629030057	0 2 30 32 42 44 54 56 84 86	566088896370
TPT(14)	2400767576155385387	0 2 30 32 60 62 84 86 144 146 222 224 234 236	726615251700