Prime p₀= 1337156667401601251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: vaughan
db: batch=77, k=10, 2 4 2 10 2

STPT(12)	1337155730229367127	0 2 30 32 60 62 72 74 102 104 132 134	-937172234124
STPT(10)	1337155810442993897	0 2 30 32 72 74 114 116 144 146	-856958607354
SPT(16)	1337155959966656233	0 18 46 88 94 96 138 186 238 286 328 330 336 378 406 424	-707434945018
SPT(16)	1337155964478127021	0 16 22 40 70 90 96 106 222 232 238 258 288 306 312 328	-702923474230
TPT(14)	1337156266584413927	0 2 114 116 120 122 210 212 222 224 234 236 240 242	-400817187324
SPT(16)	1337156523552943241	0 12 32 42 68 80 120 128 150 158 198 210 236 246 266 278	-143848658010
SPT(16)	1337156768884684303	0 6 30 36 48 58 84 90 184 190 216 226 238 244 268 274	101483083052
SPT(16)	1337157552527878691	0 18 60 68 80 98 102 120 140 158 162 180 192 200 242 260	885126277440
SPT(16)	1337157623758406693	0 14 18 66 90 104 146 158 216 228 270 284 308 356 360 374	956356805442
SPT(16)	1337157797379267517	0 34 70 106 124 156 180 184 216 220 244 276 294 330 366 400	1129977666266
SPT(16)	1337158776668505487	0 4 22 36 42 82 144 180 196 232 294 334 340 354 372 376	2109266904236