Prime p₀= 1538871819678268919 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: crashtech
db: batch=78, k=10, 2 16 2 10 2

TPT(14)	1538871209687217251	0 2 30 32 96 98 138 140 156 158 180 182 228 230	-609991051668
STPT(12)	1538871213602345849	0 2 30 32 42 44 78 80 90 92 120 122	-606075923070
SPT(16)	1538871375210411673	0 16 18 34 40 88 106 120 124 138 156 204 210 226 228 244	-444467857246
SPT(16)	1538871552641062543	0 16 30 78 94 114 124 150 154 180 190 210 226 274 288 304	-267037206376
STPT(10)	1538871603508555949	0 2 42 44 90 92 138 140 180 182	-216169712970
STPT(10)	1538871681743875469	0 2 12 14 90 92 168 170 180 182	-137934393450
SPT(16)	1538871854054436211	0 58 88 118 156 172 198 226 342 370 396 412 450 480 510 568	34376167292
STPT(10)	1538872206649330349	0 2 18 20 30 32 42 44 60 62	386971061430
SPT(16)	1538872288630375021	0 52 70 82 96 138 162 166 222 226 250 292 306 318 336 388	468952106102
SPT(16)	1538872296635906753	0 6 26 66 78 110 146 210 356 420 456 488 500 540 560 566	476957637834
STPT(10)	1538872691344402187	0 2 54 56 72 74 90 92 144 146	871666133268