Prime p₀= 2562791912803668977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2562789966326687809	0 12 70 148 174 192 202 204 208 210 220 238 264 342 400 412	-1946476981168
STPT(10)	2562790005299883977	0 2 72 74 102 104 132 134 204 206	-1907503785000
SPT(18)	2562790303469117453	0 18 20 26 44 90 120 146 156 158 168 194 224 270 288 294 296 314	-1609334551524
SPT(16)	2562790875674549789	0 12 38 42 54 90 152 164 198 210 272 308 320 324 350 362	-1037129119188
STPT(10)	2562791300442327527	0 2 24 26 42 44 60 62 84 86	-612361341450
SPT(16)	2562791475236333051	0 6 12 18 36 50 68 78 110 120 138 152 170 176 182 188	-437567335926
SPT(16)	2562792186146003521	0 10 30 52 90 112 136 162 190 216 240 262 300 322 342 352	273342334544
STPT(10)	2562792308997480641	0 2 6 8 48 50 90 92 96 98	396193811664
STPT(10)	2562792309137349941	0 2 36 38 78 80 120 122 156 158	396333680964
STPT(10)	2562792559512590159	0 2 18 20 30 32 42 44 60 62	646708921182
TPT(14)	2562792596288319779	0 2 18 20 72 74 180 182 198 200 228 230 270 272	683484650802