Prime p₀= 27644323001134309 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 36 12 26 10 56 4 56 10 26 12 36 4 (?)
a_n: 0 4 40 52 78 88 144 148 204 214 240 252 288 292
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 292
Found by: davidBAM
db: batch=65, k=14, 4 36 12 26 10 56 4

SPT(14)	27644239049082991	0 10 46 60 66 70 82 96 108 112 118 132 168 178	-83952051318
TPT(14)	27644253300118781	0 2 30 32 96 98 186 188 228 230 240 242 306 308	-69701015528
SPT(14)	27644268755149171	0 42 52 76 166 168 180 208 220 222 312 336 346 388	-54245985138
SPT(14)	27644284453752947	0 30 32 54 92 116 126 170 180 204 242 264 266 296	-38547381362
SPT(14)	27644307992499559	0 4 28 40 48 64 78 130 144 160 168 180 204 208	-15008634750
SPT(14)	27644320025300101	0 60 156 168 226 256 268 300 312 342 400 412 508 568	-2975834208
TPT(12)	27644324428489619	0 2 12 14 90 92 102 104 132 134 138 140	1427355310
SPT(14)	27644349063767321	0 20 26 30 36 42 90 92 140 146 152 156 162 182	26062633012
SPT(14)	27644350173314993	0 18 26 44 60 66 84 140 158 164 180 198 206 224	27172180684
SPT(14)	27644353164454337	0 2 6 50 90 126 210 212 296 332 372 416 420 422	30163320028
TPT(12)	27644363134541969	0 2 30 32 48 50 90 92 102 104 168 170	40133407660