Prime p₀= 2712239081606776217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Dirk Broer
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2712237277861385159	0 12 42 92 98 132 168 188 204 224 260 294 300 350 380 392	-1803745391058
STPT(10)	2712237459714648917	0 2 42 44 102 104 162 164 204 206	-1621892127300
STPT(10)	2712237473813476949	0 2 18 20 30 32 42 44 60 62	-1607793299268
SPT(16)	2712237644200417699	0 22 42 64 70 72 84 114 148 178 190 192 198 220 240 262	-1437406358518
STPT(10)	2712238839057228797	0 2 30 32 42 44 54 56 84 86	-242549547420
STPT(10)	2712238866705325301	0 2 36 38 78 80 120 122 156 158	-214901450916
SPT(16)	2712239302369669517	0 12 26 42 86 110 134 194 282 342 366 390 434 450 464 476	220762893300
STPT(10)	2712239360669510027	0 2 42 44 72 74 102 104 144 146	279062733810
STPT(10)	2712239972043662867	0 2 72 74 102 104 132 134 204 206	890436886650
SPT(16)	2712240243304661677	0 54 72 100 112 124 142 160 174 192 210 222 234 262 280 334	1161697885460
TPT(14)	2712240316000191719	0 2 12 14 72 74 150 152 210 212 222 224 240 242	1234393415502