Prime p₀= 1096985762471172317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Theadalus
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1096984524260979691	0 12 22 60 82 120 142 148 162 168 190 228 250 288 298 310	-1238210192626
STPT(10)	1096984723227773069	0 2 18 20 30 32 42 44 60 62	-1039243399248
SPT(16)	1096984871105260409	0 30 72 98 132 138 140 192 230 282 284 290 324 350 392 422	-891365911908
STPT(10)	1096985458755958097	0 2 60 62 72 74 84 86 144 146	-303715214220
SPT(16)	1096985621359466581	0 12 18 40 46 78 96 100 108 112 130 162 168 190 196 208	-141111705736
SPT(16)	1096985691956658443	0 38 44 80 84 104 114 120 134 140 150 170 174 210 216 254	-70514513874
STPT(10)	1096985971504160081	0 2 36 38 78 80 120 122 156 158	209032987764
STPT(10)	1096986235890848789	0 2 48 50 90 92 132 134 180 182	473419676472
STPT(10)	1096986286149970031	0 2 6 8 48 50 90 92 96 98	523678797714
TPT(14)	1096986353902068269	0 2 78 80 90 92 132 134 210 212 222 224 318 320	591430895952
STPT(10)	1096986464557262099	0 2 18 20 30 32 42 44 60 62	702086089782