Prime p₀= 2751132235173962291 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: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2751131113802018819	0 2 32 42 54 62 84 114 128 158 180 188 200 210 240 242	-1121371943472
STPT(10)	2751131401200332201	0 2 6 8 18 20 30 32 36 38	-833973630090
STPT(10)	2751131411824031417	0 2 30 32 42 44 54 56 84 86	-823349930874
STPT(10)	2751131651316179111	0 2 30 32 78 80 126 128 156 158	-583857783180
STPT(10)	2751131939197836461	0 2 36 38 78 80 120 122 156 158	-295976125830
TPT(14)	2751131977608685007	0 2 84 86 150 152 162 164 264 266 294 296 360 362	-257565277284
STPT(10)	2751132788008273811	0 2 6 8 18 20 30 32 36 38	552834311520
SPT(16)	2751133272280162691	0 8 32 38 56 60 78 96 122 140 158 162 180 186 210 218	1037106200400
SPT(16)	2751133632319447799	0 2 12 30 50 78 92 110 162 180 194 222 242 260 270 272	1397145485508
SPT(16)	2751135182670239971	0 130 156 168 202 246 270 282 286 298 322 366 400 412 438 568	2947496277680
SPT(16)	2751135268105671179	0 24 54 84 90 102 110 132 152 174 182 194 200 230 260 284	3032931708888