Prime p₀= 1069375274159182517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: Theadalus
db: batch=76, k=10, 2 88 2 10 2

SPT(16)	1069374639874216567	0 12 24 100 112 126 166 250 306 390 430 444 456 532 544 556	-634284965950
SPT(16)	1069374861660314147	0 2 12 14 32 50 74 102 134 162 186 204 222 224 234 236	-412498868370
STPT(10)	1069374985801798691	0 2 36 38 78 80 120 122 156 158	-288357383826
STPT(10)	1069375006641131159	0 2 12 14 30 32 48 50 60 62	-267518051358
STPT(10)	1069375125604826021	0 2 36 38 78 80 120 122 156 158	-148554356496
STPT(10)	1069375130739439619	0 2 18 20 30 32 42 44 60 62	-143419742898
SPT(16)	1069375345833106471	0 40 42 46 52 60 66 76 222 232 238 246 252 256 258 298	71673923954
STPT(10)	1069375353558441887	0 2 42 44 72 74 102 104 144 146	79399259370
SPT(16)	1069375602077835163	0 4 60 96 100 126 174 196 228 250 298 324 328 364 420 424	327918652646
SPT(16)	1069375927272085913	0 8 20 60 156 194 228 258 266 296 330 368 464 504 516 524	653112903396
STPT(10)	1069375987076437499	0 2 42 44 90 92 138 140 180 182	712917254982