Prime p₀= 2518023314040392699 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 16 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 90 92 102 104 162 164
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 164
Found by: [SG-FC] hl
db: batch=82, k=12, 2 58 2 10 2 16

STPT(12)	2518022215297450229	0 2 30 32 42 44 198 200 210 212 240 242	-1098742942470
STPT(12)	2518022256777489599	0 2 12 14 42 44 60 62 90 92 102 104	-1057262903100
SPT(16)	2518022458733716607	0 32 56 72 84 114 134 156 170 192 212 242 254 270 294 326	-855306676092
STPT(10)	2518022580872951807	0 2 12 14 72 74 132 134 144 146	-733167440892
STPT(10)	2518022792514736019	0 2 42 44 60 62 78 80 120 122	-521525656680
SPT(16)	2518023082889224061	0 8 56 86 90 110 180 182 216 218 288 308 312 342 390 398	-231151168638
SPT(16)	2518024550155066871	0 18 20 32 92 98 132 200 270 338 372 378 438 450 452 470	1236114674172
SPT(16)	2518024897029045373	0 28 58 78 90 100 106 118 126 138 144 154 166 186 216 244	1582988652674
SPT(16)	2518025252370859807	0 30 42 94 102 112 154 226 270 342 384 394 402 454 466 496	1938330467108
SPT(16)	2518025893468290481	0 108 112 118 132 150 160 196 222 258 268 286 300 306 310 418	2579427897782
STPT(10)	2518026116193467021	0 2 6 8 18 20 30 32 36 38	2802153074322