Prime p₀= 2774688809497483757 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 44 72 36 12 36 40 26 40 36 12 36 72 44 30 (?)
a_n: 0 30 74 146 182 194 230 270 296 336 372 384 420 492 536 566
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 566
Found by: JayPi
db: batch=82, k=16, 30 44 72 36 12 36 40 26

SPT(16)	2774686646719190251	0 10 12 42 52 66 76 96 112 132 142 156 166 196 198 208	-2162778293506
STPT(10)	2774686942165210517	0 2 30 32 42 44 54 56 84 86	-1867332273240
SPT(16)	2774687462143412267	0 30 50 56 86 110 116 200 222 306 312 336 366 372 392 422	-1347354071490
STPT(10)	2774687798631412709	0 2 42 44 90 92 138 140 180 182	-1010866071048
STPT(10)	2774687965757881487	0 2 30 32 42 44 54 56 84 86	-843739602270
SPT(16)	2774688414090830141	0 36 60 62 72 80 90 92 156 158 168 176 186 188 212 248	-395406653616
SPT(16)	2774688970938441631	0 40 100 112 126 130 156 162 166 172 198 202 216 228 288 328	161440957874
TPT(14)	2774689080428495687	0 2 30 32 42 44 84 86 120 122 162 164 174 176	270931011930
STPT(12)	2774689080428495717	0 2 12 14 54 56 90 92 132 134 144 146	270931011960
SPT(16)	2774690168136902929	0 18 28 30 34 42 72 84 118 130 160 168 172 174 184 202	1358639419172
STPT(10)	2774690459861155607	0 2 30 32 72 74 114 116 144 146	1650363671850