Prime p₀= 2234631748494655397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=81, k=10, 2 22 2 16 2

STPT(10)	2234630641938508769	0 2 42 44 90 92 138 140 180 182	-1106556146628
SPT(16)	2234630736169007173	0 6 18 28 34 78 96 100 144 148 166 210 216 226 238 244	-1012325648224
TPT(14)	2234631015908453081	0 2 6 8 36 38 78 80 108 110 330 332 348 350	-732586202316
SPT(16)	2234631087067152493	0 4 96 124 130 150 186 210 304 328 364 384 390 418 510 514	-661427502904
TPT(14)	2234631203625577751	0 2 36 38 168 170 198 200 210 212 360 362 456 458	-544869077646
STPT(10)	2234631579504564419	0 2 12 14 90 92 168 170 180 182	-168990090978
STPT(10)	2234632099046595497	0 2 12 14 42 44 72 74 84 86	350551940100
SPT(16)	2234632134149817433	0 28 64 66 76 100 106 108 166 168 174 198 208 210 246 274	385655162036
SPT(13)	2234632142649264781	0 12 42 78 120 132 150 168 180 222 258 288 300	394154609384
STPT(10)	2234632735549161977	0 2 12 14 42 44 72 74 84 86	987054506580
SPT(16)	2234632961239884377	0 44 60 72 86 90 110 156 170 216 236 240 254 266 282 326	1212745228980