Prime p₀= 3031648129910949737 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3031646879470299683	0 6 14 26 36 66 80 110 120 150 164 194 204 216 224 230	-1250440650054
STPT(10)	3031647029027968199	0 2 30 32 60 62 90 92 120 122	-1100882981538
SPT(16)	3031647182820704267	0 42 72 92 140 200 252 266 270 284 336 396 444 464 494 536	-947090245470
SPT(16)	3031647306327461167	0 10 16 40 82 126 150 162 310 322 346 390 432 456 462 472	-823583488570
STPT(10)	3031647625906565201	0 2 6 8 48 50 90 92 96 98	-504004384536
SPT(13)	3031647914937310771	0 6 42 60 72 126 156 186 240 252 270 306 312	-214973638966
TPT(14)	3031648551418662167	0 2 42 44 102 104 144 146 192 194 282 284 354 356	421507712430
SPT(16)	3031648946480413531	0 6 82 100 108 138 150 166 252 268 280 310 318 336 412 418	816569463794
SPT(16)	3031649179480117403	0 6 8 20 36 50 98 104 120 126 174 188 204 216 218 224	1049569167666
SPT(16)	3031649491366910077	0 30 70 96 112 126 132 160 222 250 256 270 286 312 352 382	1361455960340
TPT(14)	3031650271928869289	0 2 12 14 150 152 210 212 228 230 240 242 312 314	2142017919552