Prime p₀= 2789122849726003907 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2789121808474515751	0 28 42 58 72 102 108 156 382 430 436 466 480 496 510 538	-1041251488156
SPT(16)	2789121917019501397	0 22 34 60 64 90 112 124 132 144 166 192 196 222 234 256	-932706502510
STPT(10)	2789121953026245827	0 2 12 14 42 44 72 74 84 86	-896699758080
SPT(16)	2789121954106394183	0 30 36 54 56 68 90 110 114 134 156 168 170 188 194 224	-895619609724
TPT(14)	2789122042603799471	0 2 18 20 126 128 156 158 186 188 240 242 246 248	-807122204436
STPT(10)	2789122114849846337	0 2 42 44 72 74 102 104 144 146	-734876157570
STPT(10)	2789122953154695527	0 2 30 32 42 44 54 56 84 86	103428691620
SPT(16)	2789123228288725961	0 2 8 20 36 62 72 96 122 146 156 182 198 210 216 218	378562722054
STPT(10)	2789123270524412147	0 2 30 32 42 44 54 56 84 86	420798408240
STPT(10)	2789123288988431807	0 2 24 26 42 44 60 62 84 86	439262427900
TPT(14)	2789123447253669221	0 2 66 68 150 152 168 170 216 218 246 248 300 302	597527665314