Prime p₀= 2678444797475921141 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 36 30 18 30 6 6 30 18 30 36 6 (?)
a_n: 0 6 42 72 90 120 126 132 162 180 210 246 252
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 252
Found by: [SG-FC] hl
db: batch=82, k=13, 6 36 30 18 30 6

SPT(16)	2678443687618529849	0 18 20 32 74 78 104 120 152 168 194 198 240 252 254 272	-1109857391292
SPT(16)	2678443974938452507	0 12 30 40 52 66 96 120 142 166 196 210 222 232 250 262	-822537468634
SPT(16)	2678444069394378547	0 10 66 72 114 142 174 262 264 352 384 412 454 460 516 526	-728081542594
STPT(10)	2678444123889441371	0 2 36 38 78 80 120 122 156 158	-673586479770
SPT(16)	2678444235229116677	0 26 44 56 92 102 114 182 264 332 344 354 390 402 420 446	-562246804464
SPT(16)	2678444373499197547	0 10 46 70 96 124 126 136 144 154 156 184 210 234 270 280	-423976723594
STPT(10)	2678444983522747469	0 2 18 20 30 32 42 44 60 62	186046826328
SPT(16)	2678445091694604461	0 8 20 26 42 48 56 78 80 102 110 116 132 138 150 158	294218683320
TPT(14)	2678445134271982919	0 2 42 44 60 62 72 74 138 140 198 200 348 350	336796061778
SPT(16)	2678445933004329149	0 54 78 84 102 128 134 180 242 288 294 320 338 344 368 422	1135528408008
SPT(18)	2678445984074619257	0 6 42 50 74 116 120 134 186 200 252 266 270 312 336 344 380 386	1186598698116