Prime p₀= 1122740724448178159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 16 2 40 2

STPT(10)	1122738927886024451	0 2 30 32 60 62 90 92 120 122	-1796562153708
STPT(10)	1122738949630532807	0 2 42 44 72 74 102 104 144 146	-1774817645352
TPT(14)	1122738996279497291	0 2 60 62 78 80 156 158 168 170 186 188 198 200	-1728168680868
SPT(18)	1122739470541432487	0 14 56 66 134 164 204 206 240 266 300 302 342 372 440 450 492 506	-1253906745672
STPT(10)	1122739606745004497	0 2 12 14 72 74 132 134 144 146	-1117703173662
STPT(12)	1122740595199111979	0 2 60 62 72 74 180 182 192 194 252 254	-129249066180
SPT(16)	1122740895414126971	0 78 90 152 168 288 290 300 350 360 362 482 498 560 572 650	170965948812
TPT(14)	1122741272553021929	0 2 42 44 78 80 90 92 132 134 150 152 222 224	548104843770
STPT(10)	1122741946853857541	0 2 30 32 78 80 126 128 156 158	1222405679382
SPT(16)	1122742018904688373	0 28 156 184 196 210 214 226 258 270 274 288 300 328 456 484	1294456510214
STPT(10)	1122742358854607807	0 2 30 32 42 44 54 56 84 86	1634406429648