Prime p₀= 1040237622720278597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1040236859813661539	0 30 32 74 84 108 110 122 240 252 254 278 288 330 332 362	-762906617058
SPT(18)	1040236951808363791	0 28 42 60 70 72 100 102 136 192 226 228 256 258 268 286 300 328	-670911914806
SPT(16)	1040237144452247411	0 18 36 50 60 68 98 102 116 120 150 158 168 182 200 218	-478268031186
SPT(16)	1040237191549164701	0 30 36 68 96 98 108 138 140 170 180 182 210 242 248 278	-431171113896
SPT(16)	1040237216800873061	0 26 36 38 42 50 68 102 116 150 168 176 180 182 192 218	-405919405536
SPT(16)	1040237418419833453	0 36 66 106 136 156 190 210 340 360 394 414 444 484 514 550	-204300445144
SPT(16)	1040237659060490027	0 2 30 102 140 152 156 242 264 350 354 366 404 476 504 506	36340211430
SPT(16)	1040237668287322579	0 28 84 100 120 142 154 202 210 258 270 292 312 328 384 412	45567043982
STPT(10)	1040237953604354777	0 2 30 32 42 44 54 56 84 86	330884076180
SPT(16)	1040238061319978611	0 28 72 82 100 102 132 138 172 178 208 210 228 238 282 310	438599700014
SPT(16)	1040238113287588307	0 24 44 56 60 72 74 96 140 162 164 176 180 192 212 236	490567309710