Prime p₀= 1365006885036256139 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: emoga
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1365005725245438901	0 16 28 52 66 76 118 126 202 210 252 262 276 300 312 328	-1159790817238
SPT(16)	1365005955748945171	0 16 30 60 78 88 102 112 156 166 180 190 208 238 252 268	-929287310968
SPT(16)	1365005978322613733	0 36 110 126 144 150 156 168 236 248 254 260 278 294 368 404	-906713642406
STPT(10)	1365005978936140337	0 2 24 26 42 44 60 62 84 86	-906100115802
STPT(10)	1365006530366650019	0 2 30 32 60 62 90 92 120 122	-354669606120
STPT(10)	1365006668173684967	0 2 30 32 72 74 114 116 144 146	-216862571172
SPT(16)	1365007028290444481	0 18 60 90 92 98 122 140 210 228 252 258 260 290 332 350	143254188342
STPT(10)	1365007303424377307	0 2 30 32 60 62 90 92 120 122	418388121168
TPT(14)	1365007523681272397	0 2 42 44 54 56 84 86 90 92 222 224 300 302	638645016258
SPT(16)	1365007672695939299	0 2 48 54 60 68 98 102 110 114 144 152 158 164 210 212	787659683160
STPT(10)	1365007899664952831	0 2 36 38 78 80 120 122 156 158	1014628696692