Prime p₀= 2161615692478109837 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=81, k=10, 2 28 2 40 2

SPT(16)	2161613126304297353	0 36 50 56 114 116 150 176 234 260 294 296 354 360 374 410	-2566173812484
STPT(10)	2161613369954831237	0 2 30 32 42 44 54 56 84 86	-2322523278600
SPT(16)	2161614788141290991	0 6 42 56 62 132 182 192 266 276 326 396 402 416 452 458	-904336818846
TPT(14)	2161615043445398027	0 2 42 44 84 86 90 92 144 146 180 182 240 242	-649032711810
STPT(10)	2161615337142413417	0 2 42 44 72 74 102 104 144 146	-355335696420
SPT(16)	2161615477685906981	0 62 72 128 170 222 230 242 336 348 356 408 450 506 516 578	-214792202856
STPT(10)	2161615786953631361	0 2 66 68 108 110 150 152 216 218	94475521524
SPT(16)	2161615939228024057	0 4 36 60 76 100 142 154 162 174 216 240 256 280 312 316	246749914220
SPT(16)	2161616155180684481	0 12 66 86 90 96 108 132 146 170 182 188 192 212 266 278	462702574644
TPT(14)	2161616638432110527	0 2 42 44 54 56 90 92 150 152 174 176 222 224	945954000690
STPT(10)	2161616698877873687	0 2 72 74 102 104 132 134 204 206	1006399763850