Prime p₀= 2796220778253231149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2796219504242155601	0 2 30 32 78 80 126 128 156 158	-1274011075548
STPT(10)	2796219765887081717	0 2 30 32 42 44 54 56 84 86	-1012366149432
SPT(16)	2796219767170678679	0 8 18 50 62 78 140 164 228 252 314 330 342 374 384 392	-1011082552470
SPT(16)	2796220063277701391	0 30 48 60 80 86 116 122 126 132 162 168 188 200 218 248	-714975529758
SPT(16)	2796220284351928349	0 12 38 42 84 164 222 264 278 320 378 458 500 504 530 542	-493901302800
SPT(16)	2796220297544109277	0 4 84 90 100 112 136 142 144 150 174 186 196 202 282 286	-480709121872
TPT(14)	2796220944872314187	0 2 42 44 72 74 132 134 270 272 282 284 384 386	166619083038
SPT(16)	2796220973005832497	0 12 82 100 124 154 220 280 294 354 420 450 474 492 562 574	194752601348
STPT(10)	2796221027364595937	0 2 30 32 42 44 54 56 84 86	249111364788
SPT(16)	2796221369304890531	0 26 30 42 98 102 132 140 258 266 296 300 356 368 372 398	591051659382
STPT(10)	2796221440650886607	0 2 60 62 72 74 84 86 144 146	662397655458