Prime p₀= 1565871763954409 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: BlackGoose05
db: batch=60, k=10, 2 16 2 10 2

TPT(12)	1565841925880261	0 2 30 32 66 68 78 80 96 98 108 110	-29838074148
SPT(14)	1565846361282319	0 12 22 34 42 78 100 102 124 160 168 180 190 202	-25402672090
SPT(16)	1565854358670967	0 40 52 60 82 84 120 124 150 154 190 192 214 222 234 274	-17405283442
SPT(14)	1565863257458321	0 8 38 50 72 92 96 152 156 176 198 210 240 248	-8506496088
SPT(14)	1565864782057661	0 8 42 50 122 180 192 236 248 306 378 386 420 428	-6981896748
SPT(14)	1565871113356807	0 22 52 54 64 76 96 160 180 192 202 204 234 256	-650597602
SPT(14)	1565872928616853	0 6 16 54 70 76 94 96 114 120 136 174 184 190	1164662444
SPT(14)	1565882485301699	0 38 42 50 54 108 132 140 164 218 222 230 234 272	10721347290
TPT(12)	1565883656619239	0 2 12 14 18 20 42 44 72 74 102 104	11892664830
SPT(14)	1565890916021269	0 34 40 52 54 60 82 90 112 118 120 132 138 172	19152066860
SPT(14)	1565895095876141	0 6 8 38 50 56 108 188 240 246 258 288 290 296	23331921732