Prime p₀= 1265590412943006971 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: stoneageman
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1265589178942278023	0 36 38 56 110 138 150 168 218 236 248 276 330 348 350 386	-1234000728948
STPT(10)	1265589478493306957	0 2 12 14 42 44 72 74 84 86	-934449700014
STPT(10)	1265589491420459669	0 2 48 50 60 62 72 74 120 122	-921522547302
SPT(16)	1265590013192646571	0 40 72 78 82 108 148 178 210 240 280 306 310 316 348 388	-399750360400
SPT(16)	1265590106369939041	0 30 60 82 96 108 118 130 138 150 160 172 186 208 238 268	-306573067930
SPT(16)	1265590176975075071	0 2 26 66 128 152 156 180 278 302 306 330 392 432 456 458	-235967931900
STPT(12)	1265590439280469037	0 2 72 74 84 86 150 152 162 164 234 236	26337462066
STPT(10)	1265590806513640391	0 2 36 38 78 80 120 122 156 158	393570633420
SPT(16)	1265591105236756517	0 14 42 44 104 120 140 170 294 324 344 360 420 422 450 464	692293749546
SPT(16)	1265591197940532451	0 28 76 88 106 108 132 150 238 256 280 282 300 312 360 388	784997525480
STPT(10)	1265591588495514167	0 2 24 26 42 44 60 62 84 86	1175552507196