Prime p₀= 2116223318940036077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2116221125168228263	0 6 16 76 84 96 100 120 160 180 184 196 204 264 274 280	-2193771807814
SPT(16)	2116221235123864313	0 8 18 48 84 98 104 194 210 300 306 320 356 386 396 404	-2083816171764
SPT(16)	2116221250602784531	0 40 78 112 120 142 156 166 192 202 216 238 246 280 318 358	-2068337251546
STPT(10)	2116221415994433269	0 2 18 20 30 32 42 44 60 62	-1902945602808
STPT(10)	2116222276380833609	0 2 18 20 30 32 42 44 60 62	-1042559202468
SPT(16)	2116222799649474781	0 42 66 88 90 108 118 150 178 210 220 238 240 262 286 328	-519290561296
STPT(10)	2116223357519903477	0 2 24 26 42 44 60 62 84 86	38579867400
SPT(16)	2116223811839052401	0 26 96 98 110 120 140 156 272 288 308 318 330 332 402 428	492899016324
STPT(10)	2116223893870367327	0 2 54 56 72 74 90 92 144 146	574930331250
STPT(10)	2116224187446807407	0 2 30 32 72 74 114 116 144 146	868506771330
SPT(16)	2116224518235826741	0 36 40 88 130 136 142 166 252 276 282 288 330 378 382 418	1199295790664