Prime p₀= 1096986235890848789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Theadalus
db: batch=76, k=10, 2 46 2 40 2

SPT(16)	1096984871105260409	0 30 72 98 132 138 140 192 230 282 284 290 324 350 392 422	-1364785588380
STPT(10)	1096985458755958097	0 2 60 62 72 74 84 86 144 146	-777134890692
SPT(16)	1096985621359466581	0 12 18 40 46 78 96 100 108 112 130 162 168 190 196 208	-614531382208
SPT(16)	1096985691956658443	0 38 44 80 84 104 114 120 134 140 150 170 174 210 216 254	-543934190346
STPT(10)	1096985762471172317	0 2 42 44 72 74 102 104 144 146	-473419676472
STPT(10)	1096985971504160081	0 2 36 38 78 80 120 122 156 158	-264386688708
STPT(10)	1096986286149970031	0 2 6 8 48 50 90 92 96 98	50259121242
TPT(14)	1096986353902068269	0 2 78 80 90 92 132 134 210 212 222 224 318 320	118011219480
STPT(10)	1096986464557262099	0 2 18 20 30 32 42 44 60 62	228666413310
STPT(10)	1096986684675284069	0 2 18 20 30 32 42 44 60 62	448784435280
SPT(16)	1096986686172433547	0 24 30 60 72 74 110 126 140 156 192 194 206 236 242 266	450281584758