Prime p₀= 1274068838030902097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(13)	1274068007612541217	0 6 30 72 90 96 156 216 222 240 282 306 312	-830418360880
SPT(16)	1274068410133755463	0 16 24 30 66 100 106 118 156 168 174 208 244 250 258 274	-427897146634
STPT(10)	1274068434497879477	0 2 30 32 72 74 114 116 144 146	-403533022620
STPT(10)	1274068561580689541	0 2 6 8 18 20 30 32 36 38	-276450212556
SPT(16)	1274068629888078239	0 12 74 120 132 140 180 200 204 224 264 272 284 330 392 404	-208142823858
SPT(16)	1274068711311019357	0 10 12 16 66 82 94 100 126 132 144 160 210 214 216 226	-126719882740
SPT(16)	1274069107024305517	0 6 34 46 90 156 160 162 184 186 190 256 300 312 340 346	268993403420
STPT(10)	1274069368657502111	0 2 30 32 78 80 126 128 156 158	530626600014
SPT(16)	1274070087580477511	0 36 48 56 80 86 128 132 206 210 252 258 282 290 302 338	1249549575414
SPT(16)	1274070124300443641	0 20 36 56 68 96 146 152 156 162 212 240 252 272 288 308	1286269541544
SPT(16)	1274070393011894581	0 42 60 78 82 96 166 168 190 192 262 276 280 298 316 358	1554980992484