Prime p₀= 2012779071200777699 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 66 54 18 4 14 22 2 22 14 4 18 54 66 2 (?)
a_n: 0 2 68 122 140 144 158 180 182 204 218 222 240 294 360 362
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: 362
Found by: Landjunge
db: batch=80, k=16, 2 66 54 18 4 14 22 2

SPT(16)	2012778241462188769	0 18 24 34 52 60 100 112 150 162 202 210 228 238 244 262	-829738588930
STPT(10)	2012778422757764549	0 2 18 20 30 32 42 44 60 62	-648443013150
STPT(10)	2012778477210820349	0 2 18 20 30 32 42 44 60 62	-593989957350
SPT(16)	2012778550101738431	0 6 12 18 42 50 56 62 96 102 108 116 140 146 152 158	-521099039268
STPT(10)	2012778773420022701	0 2 36 38 78 80 120 122 156 158	-297780754998
TPT(14)	2012778910497496157	0 2 84 86 162 164 174 176 240 242 252 254 324 326	-160703281542
SPT(16)	2012779639890428971	0 42 52 70 100 108 118 132 136 150 160 168 198 216 226 268	568689651272
SPT(16)	2012779681346716969	0 18 70 78 88 100 112 222 238 348 360 372 382 390 442 460	610145939270
SPT(16)	2012779781182145243	0 20 30 38 60 86 98 120 254 276 288 314 336 344 354 374	709981367544
STPT(10)	2012779906588609967	0 2 12 14 42 44 72 74 84 86	835387832268
SPT(16)	2012780049394655731	0 10 16 28 42 58 100 102 106 108 150 166 180 192 198 208	978193878032