Prime p₀= 2567395607719667897 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2567393203771655891	0 20 36 56 86 92 146 162 170 186 240 246 276 296 312 332	-2403948012006
STPT(10)	2567394295980397361	0 2 30 32 78 80 126 128 156 158	-1311739270536
STPT(10)	2567394503162480309	0 2 48 50 90 92 132 134 180 182	-1104557187588
STPT(10)	2567394661079365919	0 2 42 44 90 92 138 140 180 182	-946640301978
STPT(10)	2567394783508822361	0 2 6 8 48 50 90 92 96 98	-824210845536
TPT(14)	2567395049213149007	0 2 12 14 72 74 144 146 210 212 222 224 240 242	-558506518890
SPT(16)	2567395736312142389	0 12 14 42 110 140 164 174 188 198 222 252 320 348 350 362	128592474492
TPT(14)	2567395988245813001	0 2 90 92 96 98 168 170 180 182 186 188 336 338	380526145104
SPT(16)	2567396244574327189	0 48 90 154 174 178 190 304 378 492 504 508 528 592 634 682	636854659292
STPT(10)	2567396283503861861	0 2 6 8 18 20 30 32 36 38	675784193964
STPT(10)	2567396531041679327	0 2 42 44 72 74 102 104 144 146	923322011430