Prime p₀= 1274068561580689541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1274067613638870929	0 48 50 60 62 72 90 92 138 140 158 168 170 180 182 230	-947941818612
SPT(16)	1274067630291328909	0 28 40 60 82 88 112 142 150 180 204 210 232 252 264 292	-931289360632
STPT(10)	1274067637396579841	0 2 6 8 48 50 90 92 96 98	-924184109700
SPT(13)	1274068007612541217	0 6 30 72 90 96 156 216 222 240 282 306 312	-553968148324
SPT(16)	1274068410133755463	0 16 24 30 66 100 106 118 156 168 174 208 244 250 258 274	-151446934078
STPT(10)	1274068434497879477	0 2 30 32 72 74 114 116 144 146	-127082810064
SPT(16)	1274068629888078239	0 12 74 120 132 140 180 200 204 224 264 272 284 330 392 404	68307388698
SPT(16)	1274068711311019357	0 10 12 16 66 82 94 100 126 132 144 160 210 214 216 226	149730329816
STPT(10)	1274068838030902097	0 2 30 32 60 62 90 92 120 122	276450212556
SPT(16)	1274069107024305517	0 6 34 46 90 156 160 162 184 186 190 256 300 312 340 346	545443615976
STPT(10)	1274069368657502111	0 2 30 32 78 80 126 128 156 158	807076812570