Prime p₀= 3161112503681621297 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 10 2 40 2 16 2 16 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 72 74 90 92 132 134 144 146
All 14 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: ladmo
db: batch=83, k=14, 2 10 2 40 2 16 2

SPT(16)	3161110722212108587	0 34 64 94 150 154 160 202 432 474 480 484 540 570 600 634	-1781469512710
TPT(14)	3161110892565980441	0 2 36 38 48 50 66 68 90 92 138 140 168 170	-1611115640856
STPT(10)	3161110998034159241	0 2 36 38 78 80 120 122 156 158	-1505647462056
SPT(16)	3161112025119652273	0 48 54 66 76 108 126 150 154 178 196 228 238 250 256 304	-478561969024
SPT(16)	3161112236904424237	0 64 66 94 100 120 130 154 222 246 256 276 282 310 312 376	-266777197060
STPT(10)	3161112241141041137	0 2 30 32 42 44 54 56 84 86	-262540580160
TPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	0
TPT(14)	3161112993096836801	0 2 18 20 36 38 60 62 78 80 90 92 126 128	489415215504
SPT(16)	3161114158095800903	0 66 78 80 98 156 168 206 210 248 260 318 336 338 350 416	1654414179606
SPT(16)	3161114292288836743	0 60 156 226 270 280 286 298 348 360 366 376 420 490 586 646	1788607215446
SPT(16)	3161114325725702699	0 8 42 68 84 90 110 134 168 192 212 218 234 260 294 302	1822044081402