Prime p₀= 3161112241141041137 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: ladmo
db: batch=83, k=10, 2 28 2 10 2

TPT(14)	3161110640754830969	0 2 30 32 60 62 78 80 162 164 252 254 258 260	-1600386210168
SPT(16)	3161110722212108587	0 34 64 94 150 154 160 202 432 474 480 484 540 570 600 634	-1518928932550
TPT(14)	3161110892565980441	0 2 36 38 48 50 66 68 90 92 138 140 168 170	-1348575060696
STPT(10)	3161110998034159241	0 2 36 38 78 80 120 122 156 158	-1243106881896
SPT(16)	3161112025119652273	0 48 54 66 76 108 126 150 154 178 196 228 238 250 256 304	-216021388864
SPT(16)	3161112236904424237	0 64 66 94 100 120 130 154 222 246 256 276 282 310 312 376	-4236616900
TPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	262540580160
STPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	262540580160
TPT(14)	3161112993096836801	0 2 18 20 36 38 60 62 78 80 90 92 126 128	751955795664
SPT(16)	3161114158095800903	0 66 78 80 98 156 168 206 210 248 260 318 336 338 350 416	1916954759766
SPT(16)	3161114292288836743	0 60 156 226 270 280 286 298 348 360 366 376 420 490 586 646	2051147795606