Prime p₀= 3015207292494985919 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 8 36 10 6 12 68 12 6 10 36 8 6 24 (?)
a_n: 0 24 30 38 74 84 90 102 170 182 188 198 234 242 248 272
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: 272
Found by: Ben
db: batch=82, k=16, 24 6 8 36 10 6 12 68

STPT(10)	3015206347879489199	0 2 18 20 60 62 102 104 120 122	-944615496720
SPT(16)	3015206368182090749	0 2 30 38 44 62 98 128 144 174 210 228 234 242 270 272	-924312895170
STPT(10)	3015206774931009677	0 2 42 44 72 74 102 104 144 146	-517563976242
TPT(14)	3015206832169794527	0 2 144 146 150 152 270 272 324 326 390 392 402 404	-460325191392
SPT(13)	3015206891897992277	0 6 30 90 96 120 126 132 156 162 222 246 252	-400596993642
SPT(16)	3015206915694620617	0 12 24 60 150 154 172 180 244 252 270 274 364 400 412 424	-376800365302
SPT(16)	3015207307555623293	0 18 24 38 66 86 114 116 168 170 198 218 246 260 266 284	15060637374
STPT(10)	3015207845324785907	0 2 24 26 42 44 60 62 84 86	552829799988
TPT(14)	3015207867850323347	0 2 24 26 72 74 102 104 180 182 234 236 294 296	575355337428
STPT(10)	3015208145718959777	0 2 30 32 72 74 114 116 144 146	853223973858
STPT(10)	3015208181790097217	0 2 12 14 42 44 72 74 84 86	889295111298