Prime p₀= 2691110493968075747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(12)	2691109334591886119	0 2 42 44 60 62 72 74 90 92 132 134	-1159376189628
SPT(16)	2691109362651205553	0 44 56 68 78 116 156 194 210 248 288 326 336 348 360 404	-1131316870194
SPT(16)	2691109832647228711	0 28 76 88 102 112 118 136 162 180 186 196 210 222 270 298	-661320847036
STPT(10)	2691110042388388847	0 2 30 32 72 74 114 116 144 146	-451579686900
STPT(12)	2691110248408964189	0 2 12 14 42 44 90 92 120 122 132 134	-245559111558
SPT(16)	2691110488300402439	0 14 24 42 74 78 102 104 138 140 164 168 200 218 228 242	-5667673308
SPT(16)	2691110632668323629	0 108 112 162 180 192 208 228 274 294 310 322 340 390 394 502	138700247882
STPT(10)	2691111093618924707	0 2 90 92 132 134 174 176 264 266	599650848960
SPT(16)	2691111158566906681	0 16 42 90 100 130 166 180 232 246 282 312 322 370 396 412	664598830934
TPT(14)	2691111263919988001	0 2 66 68 78 80 180 182 198 200 330 332 360 362	769951912254
SPT(16)	2691111302152572311	0 60 62 102 150 152 162 168 200 206 216 218 266 306 308 368	808184496564