Prime p₀= 750690853378232321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: GLeeM
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	750689598923070941	0 2 36 38 78 80 120 122 156 158	-1254455161380
STPT(10)	750689625480284459	0 2 12 14 30 32 48 50 60 62	-1227897947862
STPT(10)	750689757235916591	0 2 30 32 60 62 90 92 120 122	-1096142315730
SPT(16)	750689891641349339	0 8 44 54 60 80 84 98 180 194 198 218 224 234 270 278	-961736882982
TPT(14)	750690137406535631	0 2 6 8 48 50 126 128 156 158 180 182 258 260	-715971696690
STPT(10)	750690729472904189	0 2 12 14 30 32 48 50 60 62	-123905328132
SPT(16)	750691018663520267	0 32 42 84 90 102 114 120 224 230 242 254 260 302 312 344	165285287946
SPT(16)	750691132421035423	0 10 18 34 46 88 90 100 144 154 156 198 210 226 234 244	279042803102
SPT(16)	750691442576738627	0 26 42 72 150 240 252 290 342 380 392 482 560 590 606 632	589198506306
STPT(10)	750691633580457197	0 2 30 32 72 74 114 116 144 146	780202224876
STPT(10)	750691709485208399	0 2 18 20 30 32 42 44 60 62	856106976078