Prime p₀= 2746065006166052687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2746063865898441343	0 24 28 36 76 90 124 136 138 150 184 198 238 246 250 274	-1140267611344
SPT(16)	2746063921668034109	0 8 38 50 80 114 132 150 182 200 218 252 282 294 324 332	-1084498018578
SPT(16)	2746064414031139741	0 36 60 72 78 102 108 148 150 190 196 220 226 238 262 298	-592134912946
STPT(10)	2746064432396529089	0 2 18 20 30 32 42 44 60 62	-573769523598
TPT(14)	2746064552396214701	0 2 78 80 198 200 318 320 330 332 450 452 486 488	-453769837986
STPT(10)	2746064759765729747	0 2 42 44 72 74 102 104 144 146	-246400322940
STPT(10)	2746065477145946861	0 2 6 8 48 50 90 92 96 98	470979894174
STPT(10)	2746065837491184347	0 2 12 14 42 44 72 74 84 86	831325131660
TPT(14)	2746065940321709561	0 2 48 50 78 80 90 92 150 152 306 308 330 332	934155656874
TPT(14)	2746066162584889421	0 2 6 8 96 98 156 158 180 182 186 188 210 212	1156418836734
STPT(10)	2746066170188909549	0 2 42 44 60 62 78 80 120 122	1164022856862