Prime p₀= 2896595346465063167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2896593731429823713	0 30 44 60 98 150 158 224 264 330 338 390 428 444 458 488	-1615035239454
TPT(14)	2896593743616125951	0 2 60 62 138 140 168 170 180 182 186 188 270 272	-1602848937216
SPT(16)	2896594542991648061	0 38 50 66 72 132 162 206 222 266 296 356 362 378 390 428	-803473415106
SPT(16)	2896594649041730167	0 4 42 70 76 82 90 154 192 256 264 270 276 304 342 346	-697423333000
SPT(16)	2896594838897232071	0 2 32 36 42 48 78 86 102 110 140 146 152 156 186 188	-507567831096
SPT(16)	2896594866266743009	0 34 70 118 130 144 154 184 198 228 238 252 264 312 348 382	-480198320158
SPT(16)	2896595765838784561	0 30 58 60 70 88 102 112 156 166 180 198 208 210 238 268	419373721394
STPT(10)	2896596203440560347	0 2 24 26 42 44 60 62 84 86	856975497180
STPT(10)	2896596216361987829	0 2 18 20 30 32 42 44 60 62	869896924662
STPT(10)	2896596273281307209	0 2 18 20 30 32 42 44 60 62	926816244042
STPT(10)	2896596377856836021	0 2 6 8 48 50 90 92 96 98	1031391772854