Prime p₀= 1115105269878986591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1115102933557096241	0 2 6 8 18 20 30 32 36 38	-2336321890350
SPT(16)	1115104003971483751	0 10 16 42 58 66 78 96 112 130 142 150 166 192 198 208	-1265907502840
STPT(10)	1115104701064901819	0 2 18 20 30 32 42 44 60 62	-568814084772
STPT(10)	1115105033015241551	0 2 6 8 48 50 90 92 96 98	-236863745040
SPT(16)	1115105176473712727	0 2 36 90 102 140 162 176 240 254 276 314 326 380 414 416	-93405273864
STPT(10)	1115105197815206567	0 2 54 56 72 74 90 92 144 146	-72063780024
STPT(10)	1115105344512805109	0 2 48 50 60 62 72 74 120 122	74633818518
STPT(10)	1115105358151158431	0 2 36 38 78 80 120 122 156 158	88272171840
SPT(16)	1115105910957460717	0 36 54 60 96 120 154 196 204 246 280 304 340 346 364 400	641078474126
SPT(16)	1115107101166170397	0 4 36 42 54 70 76 120 136 180 186 202 214 220 252 256	1831287183806
STPT(12)	1115107341643447079	0 2 12 14 30 32 72 74 90 92 102 104	2071764460488