Prime p₀= 1014069938772052007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1014069251938385809	0 40 82 84 88 112 118 130 132 144 150 174 178 180 222 262	-686833666198
SPT(16)	1014069478437848801	0 36 68 126 138 140 278 308 360 390 528 530 542 600 632 668	-460334203206
TPT(14)	1014069599761180997	0 2 12 14 60 62 72 74 144 146 150 152 180 182	-339010871010
STPT(10)	1014069612817893017	0 2 12 14 42 44 72 74 84 86	-325954158990
SPT(16)	1014069720015837283	0 10 54 84 94 106 126 148 156 178 198 210 220 250 294 304	-218756214724
STPT(10)	1014069797574960359	0 2 48 50 60 62 72 74 120 122	-141197091648
SPT(16)	1014070933080611509	0 12 22 48 70 78 162 204 208 250 334 342 364 390 400 412	994308559502
SPT(16)	1014071637356839643	0 18 38 50 84 98 108 116 168 176 186 200 234 246 266 284	1698584787636
STPT(10)	1014071674231571861	0 2 6 8 48 50 90 92 96 98	1735459519854
SPT(16)	1014071944537508977	0 4 16 54 60 66 94 124 126 156 184 190 196 234 246 250	2005765456970
STPT(12)	1014071951914075289	0 2 30 32 102 104 138 140 210 212 240 242	2013142023282